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30916896 = 253322051
BaseRepresentation
bin111010111110…
…0000100100000
32011011202000020
41311330010200
530403320041
63022353440
7523534503
oct165740440
964152006
1030916896
11164a735a
12a42b880
13653642a
14416b13a
152aaa866
hex1d7c120

30916896 has 24 divisors (see below), whose sum is σ = 81157104. Its totient is φ = 10305600.

The previous prime is 30916891. The next prime is 30916903. The reversal of 30916896 is 69861903.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (30916891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160930 + ... + 161121.

It is an arithmetic number, because the mean of its divisors is an integer number (3381546).

Almost surely, 230916896 is an apocalyptic number.

It is an amenable number.

30916896 is an abundant number, since it is smaller than the sum of its proper divisors (50240208).

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

30916896 is a wasteful number, since it uses less digits than its factorization.

30916896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322064 (or 322056 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 30916896 is about 5560.2963949775. The cubic root of 30916896 is about 313.8571029511.

It can be divided in two parts, 309 and 16896, that added together give a triangular number (17205 = T185).

The spelling of 30916896 in words is "thirty million, nine hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 322051 644102 966153 1288204 1932306 2576408 3864612 5152816 7729224 10305632 15458448 30916896