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30942864 = 2433411747
BaseRepresentation
bin111011000001…
…0011010010000
32011020001122000
41312002122100
530410132424
63023114000
7524003301
oct166023220
964201560
1030942864
1116514917
12a442900
1365451b4
1441767a8
152ab33c9
hex1d82690

30942864 has 80 divisors (see below), whose sum is σ = 91035840. Its totient is φ = 10056960.

The previous prime is 30942853. The next prime is 30942869. The reversal of 30942864 is 46824903.

It is a happy number.

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 (30942869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16839 + ... + 18585.

It is an arithmetic number, because the mean of its divisors is an integer number (1137948).

Almost surely, 230942864 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 30942864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45517920).

30942864 is an abundant number, since it is smaller than the sum of its proper divisors (60092976).

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

30942864 is a wasteful number, since it uses less digits than its factorization.

30942864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 30942864 is about 5562.6310321645. The cubic root of 30942864 is about 313.9449509295.

The spelling of 30942864 in words is "thirty million, nine hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1747 1968 2214 2952 3494 4428 5241 5904 6988 8856 10482 13976 15723 17712 20964 27952 31446 41928 47169 62892 71627 83856 94338 125784 143254 188676 214881 251568 286508 377352 429762 573016 644643 754704 859524 1146032 1289286 1719048 1933929 2578572 3438096 3867858 5157144 7735716 10314288 15471432 30942864