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1344275020 = 22511231491783
BaseRepresentation
bin101000000100000…
…0000001001001100
310110200111020122201
41100020000021030
510223113300040
6341220251244
745212102104
oct12010001114
93420436581
101344275020
1162a8987a0
12316240b24
1318566a60a
14ca768204
157d038a9a
hex5020024c

1344275020 has 96 divisors (see below), whose sum is σ = 3236889600. Its totient is φ = 464175360.

The previous prime is 1344275003. The next prime is 1344275027. The reversal of 1344275020 is 205724431.

It is a self number, because there is not a number n which added to its sum of digits gives 1344275020.

It is not an unprimeable number, because it can be changed into a prime (1344275027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753049 + ... + 754831.

It is an arithmetic number, because the mean of its divisors is an integer number (33717600).

Almost surely, 21344275020 is an apocalyptic number.

1344275020 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 1344275020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618444800).

1344275020 is an abundant number, since it is smaller than the sum of its proper divisors (1892614580).

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

1344275020 is a wasteful number, since it uses less digits than its factorization.

1344275020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 1344275020 is about 36664.3562605427. The cubic root of 1344275020 is about 1103.6449391614.

Adding to 1344275020 its reverse (205724431), we get a palindrome (1549999451).

The spelling of 1344275020 in words is "one billion, three hundred forty-four million, two hundred seventy-five thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 149 220 230 253 298 460 506 596 745 1012 1265 1490 1639 1783 2530 2980 3278 3427 3566 5060 6556 6854 7132 8195 8915 13708 16390 17135 17830 19613 32780 34270 35660 37697 39226 41009 68540 75394 78452 82018 98065 150788 164036 188485 196130 205045 265667 376970 392260 410090 451099 531334 753940 820180 902198 1062668 1328335 1804396 2255495 2656670 2922337 4510990 5313340 5844674 6110341 9021980 11689348 12220682 14611685 24441364 29223370 30551705 58446740 61103410 67213751 122206820 134427502 268855004 336068755 672137510 1344275020