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328874976 = 253223131379
BaseRepresentation
bin10011100110100…
…011101111100000
3211220211120122200
4103212203233200
51133142444401
652344533200
711102251113
oct2346435740
9756746580
10328874976
11159706701
1292181200
135319a9a1
143196c57a
151dd14686
hex139a3be0

328874976 has 144 divisors (see below), whose sum is σ = 985944960. Its totient is φ = 103783680.

The previous prime is 328874969. The next prime is 328874977. The reversal of 328874976 is 679478823.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328874977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867555 + ... + 867933.

It is an arithmetic number, because the mean of its divisors is an integer number (6846840).

Almost surely, 2328874976 is an apocalyptic number.

328874976 is a gapful number since it is divisible by the number (36) 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 328874976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492972480).

328874976 is an abundant number, since it is smaller than the sum of its proper divisors (657069984).

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

328874976 is a wasteful number, since it uses less digits than its factorization.

328874976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 538 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 328874976 is about 18134.9104216150. The cubic root of 328874976 is about 690.2561367911.

The spelling of 328874976 in words is "three hundred twenty-eight million, eight hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 131 138 144 184 207 262 276 288 368 379 393 414 524 552 736 758 786 828 1048 1104 1137 1179 1516 1572 1656 2096 2208 2274 2358 3013 3032 3144 3312 3411 4192 4548 4716 6026 6064 6288 6624 6822 8717 9039 9096 9432 12052 12128 12576 13644 17434 18078 18192 18864 24104 26151 27117 27288 34868 36156 36384 37728 48208 49649 52302 54234 54576 69736 72312 78453 96416 99298 104604 108468 109152 139472 144624 148947 156906 198596 209208 216936 278944 289248 297894 313812 397192 418416 433872 446841 595788 627624 794384 836832 867744 893682 1141927 1191576 1255248 1588768 1787364 2283854 2383152 2510496 3425781 3574728 4567708 4766304 6851562 7149456 9135416 10277343 13703124 14298912 18270832 20554686 27406248 36541664 41109372 54812496 82218744 109624992 164437488 328874976