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342561032 = 231119211971
BaseRepresentation
bin10100011010110…
…001000100001000
3212212120220101122
4110122301010020
51200143423112
653554134412
711326502132
oct2432610410
9785526348
10342561032
111664041a0
1296881408
1355c80248
14336d2052
1520119872
hex146b1108

342561032 has 64 divisors (see below), whose sum is σ = 741830400. Its totient is φ = 146664000.

The previous prime is 342561019. The next prime is 342561049. The reversal of 342561032 is 230165243.

It is a junction number, because it is equal to n+sod(n) for n = 342560992 and 342561010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352307 + ... + 353277.

It is an arithmetic number, because the mean of its divisors is an integer number (11591100).

Almost surely, 2342561032 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 342561032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370915200).

342561032 is an abundant number, since it is smaller than the sum of its proper divisors (399269368).

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

342561032 is a wasteful number, since it uses less digits than its factorization.

342561032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 342561032 is about 18508.4043612625. The cubic root of 342561032 is about 699.7012548330.

The spelling of 342561032 in words is "three hundred forty-two million, five hundred sixty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 211 418 422 836 844 971 1672 1688 1942 2321 3884 4009 4642 7768 8018 9284 10681 16036 18449 18568 21362 32072 36898 42724 44099 73796 85448 88198 147592 176396 202939 204881 352792 405878 409762 811756 819524 1623512 1639048 2253691 3892739 4507382 7785478 9014764 15570956 18029528 31141912 42820129 85640258 171280516 342561032