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329054088 = 233113121297
BaseRepresentation
bin10011100111001…
…111011110001000
3211221011200100110
4103213033132020
51133214212323
652352434320
711103625236
oct2347173610
9757150313
10329054088
11159819230
12922489a0
135323137c
14319b7956
151dd4c793
hex139cf788

329054088 has 96 divisors (see below), whose sum is σ = 928018080. Its totient is φ = 96422400.

The previous prime is 329054059. The next prime is 329054101. The reversal of 329054088 is 880450923.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253056 + ... + 254352.

It is an arithmetic number, because the mean of its divisors is an integer number (9666855).

Almost surely, 2329054088 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 329054088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464009040).

329054088 is an abundant number, since it is smaller than the sum of its proper divisors (598963992).

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

329054088 is a wasteful number, since it uses less digits than its factorization.

329054088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 329054088 is about 18139.8480699261. The cubic root of 329054088 is about 690.3814232257.

The spelling of 329054088 in words is "three hundred twenty-nine million, fifty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 961 1023 1297 1364 1922 2046 2594 2728 2883 3844 3891 4092 5188 5766 7688 7782 8184 10376 10571 11532 14267 15564 21142 23064 28534 31128 31713 40207 42284 42801 57068 63426 80414 84568 85602 114136 120621 126852 160828 171204 241242 253704 321656 342408 442277 482484 884554 964968 1246417 1326831 1769108 2492834 2653662 3538216 3739251 4985668 5307324 7478502 9971336 10614648 13710587 14957004 27421174 29914008 41131761 54842348 82263522 109684696 164527044 329054088