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114934608 = 24323125747
BaseRepresentation
bin1101101100111…
…00001101010000
322000021021122100
412312130031100
5213410401413
615223240400
72563633215
oct666341520
9260237570
10114934608
1159972088
12325a9100
131aa72459
141139bb0c
15a154a73
hex6d9c350

114934608 has 60 divisors (see below), whose sum is σ = 332046208. Its totient is φ = 37074240.

The previous prime is 114934601. The next prime is 114934663. The reversal of 114934608 is 806439411.

114934608 is a `hidden beast` number, since 1 + 1 + 49 + 3 + 4 + 608 = 666.

It is a super-2 number, since 2×1149346082 = 26419928232227328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114934601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8410 + ... + 17337.

Almost surely, 2114934608 is an apocalyptic number.

114934608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114934608 is an abundant number, since it is smaller than the sum of its proper divisors (217111600).

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

114934608 is a wasteful number, since it uses less digits than its factorization.

114934608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25792 (or 25783 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 114934608 is about 10720.7559434958. The cubic root of 114934608 is about 486.2022224035.

The spelling of 114934608 in words is "one hundred fourteen million, nine hundred thirty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 25747 51494 77241 102988 154482 205976 231723 308964 411952 463446 617928 798157 926892 1235856 1596314 1853784 2394471 3192628 3707568 4788942 6385256 7183413 9577884 12770512 14366826 19155768 28733652 38311536 57467304 114934608