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1344214440 = 233453711213
BaseRepresentation
bin101000000011111…
…0001010110101000
310110200101011120000
41100013301112220
510223104330230
6341215103000
745211430352
oct12007612650
93420334500
101344214440
1162a857228
12316211a60
13185648b7a
14ca7500d2
157d025b60
hex501f15a8

1344214440 has 160 divisors (see below), whose sum is σ = 4640577480. Its totient is φ = 348738048.

The previous prime is 1344214427. The next prime is 1344214441. The reversal of 1344214440 is 444124431.

1344214440 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 214 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1002482244 + 341732196 = 31662^2 + 18486^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344214441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114274 + ... + 125486.

Almost surely, 21344214440 is an apocalyptic number.

1344214440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320288740).

1344214440 is an abundant number, since it is smaller than the sum of its proper divisors (3296363040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1344214440 is a wasteful number, since it uses less digits than its factorization.

1344214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11273 (or 11260 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1344214440 is about 36663.5301082697. The cubic root of 1344214440 is about 1103.6283602586.

Adding to 1344214440 its reverse (444124431), we get a palindrome (1788338871).

Subtracting from 1344214440 its reverse (444124431), we obtain a palindrome (900090009).

The spelling of 1344214440 in words is "one billion, three hundred forty-four million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 81 90 108 111 120 135 148 162 180 185 216 222 270 296 324 333 360 370 405 444 540 555 648 666 740 810 888 999 1080 1110 1332 1480 1620 1665 1998 2220 2664 2997 3240 3330 3996 4440 4995 5994 6660 7992 9990 11213 11988 13320 14985 19980 22426 23976 29970 33639 39960 44852 56065 59940 67278 89704 100917 112130 119880 134556 168195 201834 224260 269112 302751 336390 403668 414881 448520 504585 605502 672780 807336 829762 908253 1009170 1211004 1244643 1345560 1513755 1659524 1816506 2018340 2074405 2422008 2489286 3027510 3319048 3633012 3733929 4036680 4148810 4541265 4978572 6055020 6223215 7266024 7467858 8297620 9082530 9957144 11201787 12110040 12446430 14935716 16595240 18165060 18669645 22403574 24892860 29871432 33605361 36330120 37339290 44807148 49785720 56008935 67210722 74678580 89614296 112017870 134421444 149357160 168026805 224035740 268842888 336053610 448071480 672107220 1344214440