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30738924 = 22321750227
BaseRepresentation
bin111010101000…
…0100111101100
32010211200212200
41311100213230
530332121144
63014501500
7522163566
oct165204754
963750780
1030738924
1116395677
12a364890
1364a3418
144122336
152a72c69
hex1d509ec

30738924 has 36 divisors (see below), whose sum is σ = 82273464. Its totient is φ = 9643392.

The previous prime is 30738901. The next prime is 30738943. The reversal of 30738924 is 42983703.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24502 + ... + 25725.

It is an arithmetic number, because the mean of its divisors is an integer number (2285374).

Almost surely, 230738924 is an apocalyptic number.

30738924 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

30738924 is an abundant number, since it is smaller than the sum of its proper divisors (51534540).

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

30738924 is a wasteful number, since it uses less digits than its factorization.

30738924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50254 (or 50249 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 30738924 is about 5544.2694739704. The cubic root of 30738924 is about 313.2537079497.

The spelling of 30738924 in words is "thirty million, seven hundred thirty-eight thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 50227 100454 150681 200908 301362 452043 602724 853859 904086 1707718 1808172 2561577 3415436 5123154 7684731 10246308 15369462 30738924