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30330816 = 263413853
BaseRepresentation
bin111001110110…
…0111111000000
32010001222001120
41303230333000
530231041231
63002032240
7515544015
oct163547700
963058046
1030330816
1116136a9a
12a1a8680
13638c739
14405770c
1529e1d96
hex1cecfc0

30330816 has 56 divisors (see below), whose sum is σ = 82228944. Its totient is φ = 9861120.

The previous prime is 30330799. The next prime is 30330829. The reversal of 30330816 is 61803303.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5946 + ... + 9798.

It is an arithmetic number, because the mean of its divisors is an integer number (1468374).

Almost surely, 230330816 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 30330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41114472).

30330816 is an abundant number, since it is smaller than the sum of its proper divisors (51898128).

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

30330816 is a wasteful number, since it uses less digits than its factorization.

30330816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 30330816 is about 5507.3420086281. The cubic root of 30330816 is about 311.8612137498.

The spelling of 30330816 in words is "thirty million, three hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3853 3936 7706 7872 11559 15412 23118 30824 46236 61648 92472 123296 157973 184944 246592 315946 369888 473919 631892 739776 947838 1263784 1895676 2527568 3791352 5055136 7582704 10110272 15165408 30330816