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329060088 = 233272194909
BaseRepresentation
bin10011100111010…
…000111011111000
3211221011222120200
4103213100323320
51133214410323
652352522200
711103651600
oct2347207370
9757158520
10329060088
11159822795
1292250360
1353234016
14319b9c00
151dd4e443
hex139d0ef8

329060088 has 144 divisors (see below), whose sum is σ = 1091493000. Its totient is φ = 89050752.

The previous prime is 329060063. The next prime is 329060111. The reversal of 329060088 is 880060923.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64578 + ... + 69486.

Almost surely, 2329060088 is an apocalyptic number.

329060088 is a gapful number since it is divisible by the number (38) 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 329060088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545746500).

329060088 is an abundant number, since it is smaller than the sum of its proper divisors (762432912).

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

329060088 is a wasteful number, since it uses less digits than its factorization.

329060088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4954 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 329060088 is about 18140.0134509322. The cubic root of 329060088 is about 690.3856193579.

The spelling of 329060088 in words is "three hundred twenty-nine million, sixty thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 76 84 98 114 126 133 147 152 168 171 196 228 252 266 294 342 392 399 441 456 504 532 588 684 798 882 931 1064 1176 1197 1368 1596 1764 1862 2394 2793 3192 3528 3724 4788 4909 5586 7448 8379 9576 9818 11172 14727 16758 19636 22344 29454 33516 34363 39272 44181 58908 67032 68726 88362 93271 103089 117816 137452 176724 186542 206178 240541 274904 279813 309267 353448 373084 412356 481082 559626 618534 652897 721623 746168 824712 839439 962164 1119252 1237068 1305794 1443246 1678878 1924328 1958691 2164869 2238504 2474136 2611588 2886492 3357756 3917382 4329738 4570279 5223176 5772984 5876073 6715512 7834764 8659476 9140558 11752146 13710837 15669528 17318952 18281116 23504292 27421674 36562232 41132511 47008584 54843348 82265022 109686696 164530044 329060088