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30431960 = 23513431361
BaseRepresentation
bin111010000010…
…1101011011000
32010021002210122
41310011223120
530242310320
63004132412
7516444626
oct164055330
963232718
1030431960
11161a5a89
12a237108
1363c67a0
144082516
152a11d25
hex1d05ad8

30431960 has 64 divisors (see below), whose sum is σ = 75509280. Its totient is φ = 10967040.

The previous prime is 30431959. The next prime is 30431981. The reversal of 30431960 is 6913403.

It is a super-2 number, since 2×304319602 = 1852208378883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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, 21680 + ... + 23040.

Almost surely, 230431960 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 30431960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37754640).

30431960 is an abundant number, since it is smaller than the sum of its proper divisors (45077320).

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

30431960 is a wasteful number, since it uses less digits than its factorization.

30431960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 30431960 is about 5516.5170171042. The cubic root of 30431960 is about 312.2074830737.

The spelling of 30431960 in words is "thirty million, four hundred thirty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 860 1118 1361 1720 2236 2722 2795 4472 5444 5590 6805 10888 11180 13610 17693 22360 27220 35386 54440 58523 70772 88465 117046 141544 176930 234092 292615 353860 468184 585230 707720 760799 1170460 1521598 2340920 3043196 3803995 6086392 7607990 15215980 30431960