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114536352 = 2537170441
BaseRepresentation
bin1101101001110…
…10111110100000
321222112001100010
412310322332200
5213310130402
615210524520
72560354140
oct664727640
9258461303
10114536352
115971a947
1232436740
131a9630b8
14112d6920
15a0c6a6c
hex6d3afa0

114536352 has 48 divisors (see below), whose sum is σ = 343611072. Its totient is φ = 32724480.

The previous prime is 114536311. The next prime is 114536353. The reversal of 114536352 is 253635411.

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

It is not an unprimeable number, because it can be changed into a prime (114536353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84549 + ... + 85892.

It is an arithmetic number, because the mean of its divisors is an integer number (7158564).

Almost surely, 2114536352 is an apocalyptic number.

114536352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114536352 is an abundant number, since it is smaller than the sum of its proper divisors (229074720).

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

114536352 is a wasteful number, since it uses less digits than its factorization.

114536352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170461 (or 170453 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 114536352 is about 10702.1657621250. The cubic root of 114536352 is about 485.6399982614.

The spelling of 114536352 in words is "one hundred fourteen million, five hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 170441 340882 511323 681764 1022646 1193087 1363528 2045292 2386174 2727056 3579261 4090584 4772348 5454112 7158522 8181168 9544696 14317044 16362336 19089392 28634088 38178784 57268176 114536352