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329485968 = 2434736319
BaseRepresentation
bin10011101000111…
…000111010010000
3211221222121210000
4103220320322100
51133322022333
652410010000
711110404330
oct2350707220
9757877700
10329485968
11159a93759
1292416900
1353352b16
1431a8b0c0
151ddd5713
hex13a38e90

329485968 has 100 divisors (see below), whose sum is σ = 1089890560. Its totient is φ = 94136256.

The previous prime is 329485957. The next prime is 329485987. The reversal of 329485968 is 869584923.

329485968 is a `hidden beast` number, since 3 + 2 + 9 + 48 + 596 + 8 = 666.

It is a super-2 number, since 2×3294859682 = 217122006217794048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 9088 + ... + 27231.

Almost surely, 2329485968 is an apocalyptic number.

It is an amenable number.

329485968 is an abundant number, since it is smaller than the sum of its proper divisors (760404592).

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

329485968 is a wasteful number, since it uses less digits than its factorization.

329485968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36346 (or 36331 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 329485968 is about 18151.7483455451. The cubic root of 329485968 is about 690.6833306124.

The spelling of 329485968 in words is "three hundred twenty-nine million, four hundred eighty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 36319 72638 108957 145276 217914 254233 290552 326871 435828 508466 581104 653742 762699 871656 980613 1016932 1307484 1525398 1743312 1961226 2033864 2288097 2614968 2941839 3050796 3922452 4067728 4576194 5229936 5883678 6101592 6864291 7844904 9152388 11767356 12203184 13728582 15689808 18304776 20592873 23534712 27457164 36609552 41185746 47069424 54914328 82371492 109828656 164742984 329485968