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114384048 = 2433176871
BaseRepresentation
bin1101101000101…
…01110010110000
321222020022102020
412310111302300
5213240242143
615203351440
72556151122
oct664256260
9258208366
10114384048
1159626479
1232382580
131a90b98c
1411297212
15a096883
hex6d15cb0

114384048 has 40 divisors (see below), whose sum is σ = 305028096. Its totient is φ = 36897600.

The previous prime is 114384031. The next prime is 114384071. The reversal of 114384048 is 840483411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36948 + ... + 39923.

Almost surely, 2114384048 is an apocalyptic number.

It is an amenable number.

114384048 is an abundant number, since it is smaller than the sum of its proper divisors (190644048).

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

114384048 is a wasteful number, since it uses less digits than its factorization.

114384048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76913 (or 76907 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 114384048 is about 10695.0478259800. The cubic root of 114384048 is about 485.4246438578.

The spelling of 114384048 in words is "one hundred fourteen million, three hundred eighty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 76871 153742 230613 307484 461226 614968 922452 1229936 1844904 2383001 3689808 4766002 7149003 9532004 14298006 19064008 28596012 38128016 57192024 114384048