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30998968 = 2373111379
BaseRepresentation
bin111011001000…
…0000110111000
32011022220120221
41312100012320
530413431333
63024225424
7524326000
oct166200670
964286527
1030998968
1116552a90
12a46b274
1365648b0
14418d000
152ac4d2d
hex1d901b8

30998968 has 128 divisors (see below), whose sum is σ = 80640000. Its totient is φ = 11007360.

The previous prime is 30998909. The next prime is 30998987. The reversal of 30998968 is 86989903.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392353 + ... + 392431.

It is an arithmetic number, because the mean of its divisors is an integer number (630000).

Almost surely, 230998968 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 30998968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320000).

30998968 is an abundant number, since it is smaller than the sum of its proper divisors (49641032).

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

30998968 is a wasteful number, since it uses less digits than its factorization.

30998968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The square root of 30998968 is about 5567.6716857229. The cubic root of 30998968 is about 314.1345792813.

The spelling of 30998968 in words is "thirty million, nine hundred ninety-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 49 52 56 77 79 88 91 98 104 143 154 158 182 196 286 308 316 343 364 392 539 553 572 616 632 637 686 728 869 1001 1027 1078 1106 1144 1274 1372 1738 2002 2054 2156 2212 2548 2744 3476 3773 3871 4004 4108 4312 4424 4459 5096 6083 6952 7007 7189 7546 7742 8008 8216 8918 11297 12166 14014 14378 15092 15484 17836 22594 24332 27097 28028 28756 30184 30968 35672 42581 45188 48664 49049 50323 54194 56056 57512 79079 85162 90376 98098 100646 108388 158158 170324 196196 201292 216776 298067 316316 340648 352261 392392 402584 553553 596134 632632 704522 1107106 1192268 1409044 2214212 2384536 2818088 3874871 4428424 7749742 15499484 30998968