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114243648 = 2631933083
BaseRepresentation
bin1101100111100…
…11100001000000
321221222011211020
412303303201000
5213221244043
615200345440
72555024601
oct663634100
9257864736
10114243648
115953aa42
1232315280
131a88cabc
141125bda8
15a069e83
hex6cf3840

114243648 has 56 divisors (see below), whose sum is σ = 303934368. Its totient is φ = 37871616.

The previous prime is 114243617. The next prime is 114243653. The reversal of 114243648 is 846342411.

It is a super-2 number, since 2×1142436482 = 26103222216695808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 35515 + ... + 38597.

Almost surely, 2114243648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114243648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151967184).

114243648 is an abundant number, since it is smaller than the sum of its proper divisors (189690720).

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

114243648 is a wasteful number, since it uses less digits than its factorization.

114243648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3281 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 114243648 is about 10688.4820250586. The cubic root of 114243648 is about 485.2259520380.

The spelling of 114243648 in words is "one hundred fourteen million, two hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 193 386 579 772 1158 1544 2316 3083 3088 4632 6166 6176 9249 9264 12332 12352 18498 18528 24664 36996 37056 49328 73992 98656 147984 197312 295968 591936 595019 1190038 1785057 2380076 3570114 4760152 7140228 9520304 14280456 19040608 28560912 38081216 57121824 114243648