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329055048 = 2335724181
BaseRepresentation
bin10011100111001…
…111101101001000
3211221011201200000
4103213033231020
51133214230143
652352443000
711103631110
oct2347175510
9757151600
10329055048
11159819a23
1292249460
135323193a
14319b8040
151dd4cbd3
hex139cfb48

329055048 has 96 divisors (see below), whose sum is σ = 1056269760. Its totient is φ = 94011840.

The previous prime is 329055047. The next prime is 329055059. The reversal of 329055048 is 840550923.

It is a super-2 number, since 2×3290550482 = 216554449228564608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (329055047) 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, 1518 + ... + 25698.

It is an arithmetic number, because the mean of its divisors is an integer number (11002810).

Almost surely, 2329055048 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 329055048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528134880).

329055048 is an abundant number, since it is smaller than the sum of its proper divisors (727214712).

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

329055048 is a wasteful number, since it uses less digits than its factorization.

329055048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24209 (or 24193 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 329055048 is about 18139.8745309884. The cubic root of 329055048 is about 690.3820946103.

The spelling of 329055048 in words is "three hundred twenty-nine million, fifty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6804 13608 24181 48362 72543 96724 145086 169267 193448 217629 290172 338534 435258 507801 580344 652887 677068 870516 1015602 1305774 1354136 1523403 1741032 1958661 2031204 2611548 3046806 3917322 4062408 4570209 5223096 5875983 6093612 7834644 9140418 11751966 12187224 13710627 15669288 18280836 23503932 27421254 36561672 41131881 47007864 54842508 82263762 109685016 164527524 329055048