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114506312 = 23192311279
BaseRepresentation
bin1101101001100…
…11101001001000
321222110112010112
412310303221020
5213303200222
615210133452
72560200434
oct664635110
9258415115
10114506312
11596aa318
1232421288
131a95251b
14112c99c4
15a0bcbe2
hex6d33a48

114506312 has 48 divisors (see below), whose sum is σ = 234086400. Its totient is φ = 52449120.

The previous prime is 114506311. The next prime is 114506363. The reversal of 114506312 is 213605411.

It is a super-2 number, since 2×1145063122 = 26223390975682688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114506311) 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, 88889 + ... + 90167.

It is an arithmetic number, because the mean of its divisors is an integer number (4876800).

Almost surely, 2114506312 is an apocalyptic number.

It is an amenable number.

114506312 is an abundant number, since it is smaller than the sum of its proper divisors (119580088).

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

114506312 is a wasteful number, since it uses less digits than its factorization.

114506312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 114506312 is about 10700.7622158424. The cubic root of 114506312 is about 485.5975375029.

Subtracting 114506312 from its reverse (213605411), we obtain a palindrome (99099099).

The spelling of 114506312 in words is "one hundred fourteen million, five hundred six thousand, three hundred twelve".

Divisors: 1 2 4 8 19 31 38 62 76 124 152 248 361 589 722 1178 1279 1444 2356 2558 2888 4712 5116 10232 11191 22382 24301 39649 44764 48602 79298 89528 97204 158596 194408 317192 461719 753331 923438 1506662 1846876 3013324 3693752 6026648 14313289 28626578 57253156 114506312