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328335552 = 26331711177
BaseRepresentation
bin10011100100100…
…000000011000000
3211212211011201000
4103210200003000
51133023214202
652325212000
711064543336
oct2344400300
9755734630
10328335552
111593783a6
1291b61000
135303c2bc
143186bb56
151dc5991c
hex139200c0

328335552 has 112 divisors (see below), whose sum is σ = 1022116320. Its totient is φ = 102998016.

The previous prime is 328335533. The next prime is 328335587. The reversal of 328335552 is 255533823.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 23788 + ... + 34964.

Almost surely, 2328335552 is an apocalyptic number.

328335552 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 328335552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511058160).

328335552 is an abundant number, since it is smaller than the sum of its proper divisors (693780768).

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

328335552 is a wasteful number, since it uses less digits than its factorization.

328335552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11215 (or 11199 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 328335552 is about 18120.0317880516. The cubic root of 328335552 is about 689.8785419485.

The spelling of 328335552 in words is "three hundred twenty-eight million, three hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 9792 11177 14688 22354 29376 33531 44708 67062 89416 100593 134124 178832 190009 201186 268248 301779 357664 380018 402372 536496 570027 603558 715328 760036 804744 1072992 1140054 1207116 1520072 1609488 1710081 2145984 2280108 2414232 3040144 3218976 3420162 4560216 4828464 5130243 6080288 6437952 6840324 9120432 9656928 10260486 12160576 13680648 18240864 19313856 20520972 27361296 36481728 41041944 54722592 82083888 109445184 164167776 328335552