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30931344 = 2432792719
BaseRepresentation
bin111010111111…
…1100110010000
32011012110211100
41311333212100
530404300334
63022544400
7523624563
oct165774620
964173740
1030931344
11165071a4
12a438100
13653cb92
1441724da
152aaec99
hex1d7f990

30931344 has 60 divisors (see below), whose sum is σ = 87692800. Its totient is φ = 10176192.

The previous prime is 30931339. The next prime is 30931349. The reversal of 30931344 is 44313903.

30931344 is a `hidden beast` number, since 309 + 313 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (30931339) and next prime (30931349).

It is not an unprimeable number, because it can be changed into a prime (30931349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10017 + ... + 12735.

Almost surely, 230931344 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 30931344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43846400).

30931344 is an abundant number, since it is smaller than the sum of its proper divisors (56761456).

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

30931344 is a wasteful number, since it uses less digits than its factorization.

30931344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 30931344 is about 5561.5954545436. The cubic root of 30931344 is about 313.9059856207.

The spelling of 30931344 in words is "thirty million, nine hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2719 2844 3792 5438 5688 8157 10876 11376 16314 21752 24471 32628 43504 48942 65256 97884 130512 195768 214801 391536 429602 644403 859204 1288806 1718408 1933209 2577612 3436816 3866418 5155224 7732836 10310448 15465672 30931344