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114324264 = 23332918251
BaseRepresentation
bin1101101000001…
…11001100101000
321222010021102000
412310013030220
5213231334024
615202211000
72555511615
oct664071450
9258107360
10114324264
115959556a
1232353a60
131a8ba6c2
141127d50c
15a083cc9
hex6d07328

114324264 has 64 divisors (see below), whose sum is σ = 328536000. Its totient is φ = 36792000.

The previous prime is 114324263. The next prime is 114324299. The reversal of 114324264 is 462423411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (114324263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2862 + ... + 15389.

It is an arithmetic number, because the mean of its divisors is an integer number (5133375).

Almost surely, 2114324264 is an apocalyptic number.

It is an amenable number.

114324264 is an abundant number, since it is smaller than the sum of its proper divisors (214211736).

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

114324264 is a wasteful number, since it uses less digits than its factorization.

114324264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18295 (or 18285 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 114324264 is about 10692.2525222705. The cubic root of 114324264 is about 485.3400583908.

Adding to 114324264 its reverse (462423411), we get a palindrome (576747675).

The spelling of 114324264 in words is "one hundred fourteen million, three hundred twenty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 18251 36502 54753 73004 109506 146008 164259 219012 328518 438024 492777 529279 657036 985554 1058558 1314072 1587837 1971108 2117116 3175674 3942216 4234232 4763511 6351348 9527022 12702696 14290533 19054044 28581066 38108088 57162132 114324264