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329528064 = 2832771549
BaseRepresentation
bin10011101001000…
…011001100000000
3211222001202112010
4103221003030000
51133324344224
652410532520
711110641135
oct2351031400
9758052463
10329528064
1115a012348
1292437140
1353369028
1431a9c58c
151dde2e29
hex13a43300

329528064 has 72 divisors (see below), whose sum is σ = 880759600. Its totient is φ = 109375488.

The previous prime is 329528041. The next prime is 329528071. The reversal of 329528064 is 460825923.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211962 + ... + 213510.

Almost surely, 2329528064 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 329528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440379800).

329528064 is an abundant number, since it is smaller than the sum of its proper divisors (551231536).

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

329528064 is a wasteful number, since it uses less digits than its factorization.

329528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 329528064 is about 18152.9078662345. The cubic root of 329528064 is about 690.7127438703.

The spelling of 329528064 in words is "three hundred twenty-nine million, five hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 277 384 554 768 831 1108 1549 1662 2216 3098 3324 4432 4647 6196 6648 8864 9294 12392 13296 17728 18588 24784 26592 35456 37176 49568 53184 70912 74352 99136 106368 148704 198272 212736 297408 396544 429073 594816 858146 1189632 1287219 1716292 2574438 3432584 5148876 6865168 10297752 13730336 20595504 27460672 41191008 54921344 82382016 109842688 164764032 329528064