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34482912 = 2533111587
BaseRepresentation
bin1000001110001…
…0101011100000
32101212220122220
42003202223200
532311423122
63231031040
7566046162
oct203425340
971786586
1034482912
1118512582
12b66b480
1371b45b9
144818932
15306225c
hex20e2ae0

34482912 has 48 divisors (see below), whose sum is σ = 93445632. Its totient is φ = 11122560.

The previous prime is 34482893. The next prime is 34482923. The reversal of 34482912 is 21928443.

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

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, 2818 + ... + 8769.

It is an arithmetic number, because the mean of its divisors is an integer number (1946784).

Almost surely, 234482912 is an apocalyptic number.

34482912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34482912 is an abundant number, since it is smaller than the sum of its proper divisors (58962720).

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

34482912 is a wasteful number, since it uses less digits than its factorization.

34482912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11631 (or 11623 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 34482912 is about 5872.2152549102. The cubic root of 34482912 is about 325.4877473261.

The spelling of 34482912 in words is "thirty-four million, four hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 11587 23174 34761 46348 69522 92696 139044 185392 278088 359197 370784 556176 718394 1077591 1112352 1436788 2155182 2873576 4310364 5747152 8620728 11494304 17241456 34482912