Search a number
-
+
1344505344 = 2937139619
BaseRepresentation
bin101000000100011…
…1000011000000000
310110200220221121020
41100020320120000
510223143132334
6341225225440
745214051440
oct12010703000
93420827536
101344505344
1162aa35846
12316332280
1318571b3c0
14ca7c8120
157d081e49
hex50238600

1344505344 has 160 divisors (see below), whose sum is σ = 4408884480. Its totient is φ = 354557952.

The previous prime is 1344505339. The next prime is 1344505361. The reversal of 1344505344 is 4435054431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134967 + ... + 144585.

It is an arithmetic number, because the mean of its divisors is an integer number (27555528).

Almost surely, 21344505344 is an apocalyptic number.

1344505344 is a gapful number since it is divisible by the number (14) 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 1344505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204442240).

1344505344 is an abundant number, since it is smaller than the sum of its proper divisors (3064379136).

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

1344505344 is an equidigital number, since it uses as much as digits as its factorization.

1344505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9660 (or 9644 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 1344505344 is about 36667.4971057475. The cubic root of 1344505344 is about 1103.7079672861.

Adding to 1344505344 its reverse (4435054431), we get a palindrome (5779559775).

The spelling of 1344505344 in words is "one billion, three hundred forty-four million, five hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 512 546 624 672 728 768 832 896 1092 1248 1344 1456 1536 1664 1792 2184 2496 2688 2912 3328 3584 4368 4992 5376 5824 6656 8736 9619 9984 10752 11648 17472 19238 19968 23296 28857 34944 38476 46592 57714 67333 69888 76952 115428 125047 134666 139776 153904 201999 230856 250094 269332 307808 375141 403998 461712 500188 538664 615616 750282 807996 875329 923424 1000376 1077328 1231232 1500564 1615992 1750658 1846848 2000752 2154656 2462464 2625987 3001128 3231984 3501316 3693696 4001504 4309312 4924928 5251974 6002256 6463968 7002632 7387392 8003008 8618624 10503948 12004512 12927936 14005264 14774784 16006016 17237248 21007896 24009024 25855872 28010528 32012032 34474496 42015792 48018048 51711744 56021056 64024064 84031584 96036096 103423488 112042112 168063168 192072192 224084224 336126336 448168448 672252672 1344505344