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130552344 = 233313192447
BaseRepresentation
bin1111100100000…
…01001000011000
3100002122202011000
413302001020120
5231410133334
620542105000
73143451036
oct762011030
9302582130
10130552344
11677699aa
123787b160
1321080010
14134a5556
15b6dc299
hex7c81218

130552344 has 128 divisors (see below), whose sum is σ = 411264000. Its totient is φ = 38040192.

The previous prime is 130552337. The next prime is 130552349. The reversal of 130552344 is 443255031.

130552344 is a `hidden beast` number, since 130 + 5 + 523 + 4 + 4 = 666.

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 (130552349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52129 + ... + 54575.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 2130552344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130552344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

130552344 is an abundant number, since it is smaller than the sum of its proper divisors (280711656).

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

130552344 is a wasteful number, since it uses less digits than its factorization.

130552344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 130552344 is about 11425.9504637470. The cubic root of 130552344 is about 507.2961401443.

The spelling of 130552344 in words is "one hundred thirty million, five hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1368 1404 1482 1976 2052 2223 2447 2808 2964 4104 4446 4894 5928 6669 7341 8892 9788 13338 14682 17784 19576 22023 26676 29364 31811 44046 46493 53352 58728 63622 66069 88092 92986 95433 127244 132138 139479 176184 185972 190866 254488 264276 278958 286299 371944 381732 418437 528552 557916 572598 604409 763464 836874 858897 1115832 1145196 1208818 1255311 1673748 1717794 1813227 2290392 2417636 2510622 3347496 3435588 3626454 4835272 5021244 5439681 6871176 7252908 10042488 10879362 14505816 16319043 21758724 32638086 43517448 65276172 130552344