Search a number
-
+
328936512 = 26319372437
BaseRepresentation
bin10011100110110…
…010110001000000
3211220221201001210
4103212302301000
51133201432022
652350130120
711102625402
oct2346626100
9756851053
10328936512
11159748963
12921b0940
13531bc9b8
1431986b72
151dd27a0c
hex139b2c40

328936512 has 112 divisors (see below), whose sum is σ = 941263040. Its totient is φ = 101025792.

The previous prime is 328936499. The next prime is 328936513. The reversal of 328936512 is 215639823.

It is a super-2 number, since 2×3289365122 = 216398457853452288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (328936513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133758 + ... + 136194.

Almost surely, 2328936512 is an apocalyptic number.

328936512 is a gapful number since it is divisible by the number (32) 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 328936512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470631520).

328936512 is an abundant number, since it is smaller than the sum of its proper divisors (612326528).

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

328936512 is a wasteful number, since it uses less digits than its factorization.

328936512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2498 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 328936512 is about 18136.6069594067. The cubic root of 328936512 is about 690.2991855236.

The spelling of 328936512 in words is "three hundred twenty-eight million, nine hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 148 152 192 222 228 296 304 444 456 592 608 703 888 912 1184 1216 1406 1776 1824 2109 2368 2437 2812 3552 3648 4218 4874 5624 7104 7311 8436 9748 11248 14622 16872 19496 22496 29244 33744 38992 44992 46303 58488 67488 77984 90169 92606 116976 134976 138909 155968 180338 185212 233952 270507 277818 360676 370424 467904 541014 555636 721352 740848 1082028 1111272 1442704 1481696 1713211 2164056 2222544 2885408 2963392 3426422 4328112 4445088 5139633 5770816 6852844 8656224 8890176 10279266 13705688 17312448 20558532 27411376 41117064 54822752 82234128 109645504 164468256 328936512