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30923232 = 2531931669
BaseRepresentation
bin111010111110…
…1100111100000
32011012001200220
41311331213200
530404020412
63022443040
7523562124
oct165754740
964161626
1030923232
111650109a
12a433480
136539292
14416d584
152aac68c
hex1d7d9e0

30923232 has 48 divisors (see below), whose sum is σ = 81642960. Its totient is φ = 10248192.

The previous prime is 30923209. The next prime is 30923237. The reversal of 30923232 is 23232903.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30923237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17694 + ... + 19362.

It is an arithmetic number, because the mean of its divisors is an integer number (1700895).

Almost surely, 230923232 is an apocalyptic number.

30923232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30923232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40821480).

30923232 is an abundant number, since it is smaller than the sum of its proper divisors (50719728).

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

30923232 is a wasteful number, since it uses less digits than its factorization.

30923232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 30923232 is about 5560.8661195896. The cubic root of 30923232 is about 313.8785417438.

The spelling of 30923232 in words is "thirty million, nine hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 579 772 1158 1544 1669 2316 3088 3338 4632 5007 6176 6676 9264 10014 13352 18528 20028 26704 40056 53408 80112 160224 322117 644234 966351 1288468 1932702 2576936 3865404 5153872 7730808 10307744 15461616 30923232