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30684032 = 27534523
BaseRepresentation
bin111010100001…
…1001110000000
32010201220120122
41311003032000
530323342112
63013355412
7521544551
oct165031600
963656518
1030684032
1116358405
12a338b68
136484442
14410a328
152a61872
hex1d43380

30684032 has 32 divisors (see below), whose sum is σ = 62295480. Its totient is φ = 15049216.

The previous prime is 30684011. The next prime is 30684053. The reversal of 30684032 is 23048603.

It is an interprime number because it is at equal distance from previous prime (30684011) and next prime (30684053).

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 30683992 and 30684010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4523 + ... + 9045.

Almost surely, 230684032 is an apocalyptic number.

30684032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

30684032 is the 4523-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30684032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31147740).

30684032 is an abundant number, since it is smaller than the sum of its proper divisors (31611448).

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

30684032 is an equidigital number, since it uses as much as digits as its factorization.

30684032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 30684032 is about 5539.3169253979. The cubic root of 30684032 is about 313.0671326910.

The spelling of 30684032 in words is "thirty million, six hundred eighty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 4523 6784 9046 18092 36184 72368 144736 239719 289472 479438 578944 958876 1917752 3835504 7671008 15342016 30684032