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329424256 = 277253991
BaseRepresentation
bin10011101000101…
…001110110000000
3211221212111010101
4103220221312000
51133313034011
652404412144
711110026400
oct2350516600
9757774111
10329424256
11159a51357
12923a7054
13533309c5
1431a72800
151ddc22c1
hex13a29d80

329424256 has 96 divisors (see below), whose sum is σ = 778610880. Its totient is φ = 138378240.

The previous prime is 329424229. The next prime is 329424287. The reversal of 329424256 is 652424923.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331921 + ... + 332911.

It is an arithmetic number, because the mean of its divisors is an integer number (8110530).

Almost surely, 2329424256 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 329424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389305440).

329424256 is an abundant number, since it is smaller than the sum of its proper divisors (449186624).

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

329424256 is an equidigital number, since it uses as much as digits as its factorization.

329424256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1053 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 329424256 is about 18150.0483745912. The cubic root of 329424256 is about 690.6402067617.

The spelling of 329424256 in words is "three hundred twenty-nine million, four hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 196 212 224 371 392 424 448 742 784 848 896 991 1484 1568 1696 1982 2597 2968 3136 3392 3964 5194 5936 6272 6784 6937 7928 10388 11872 13874 15856 20776 23744 27748 31712 41552 47488 48559 52523 55496 63424 83104 97118 105046 110992 126848 166208 194236 210092 221984 332416 367661 388472 420184 443968 735322 776944 840368 887936 1470644 1553888 1680736 2573627 2941288 3107776 3361472 5147254 5882576 6215552 6722944 10294508 11765152 20589016 23530304 41178032 47060608 82356064 164712128 329424256