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114314052 = 223172292447
BaseRepresentation
bin1101101000001…
…00101101000100
321222002202101210
412310010231010
5213231022202
615202051420
72555440056
oct664045504
9258082353
10114314052
1159588926
1232349b70
131a8b5b68
14112798d6
15a080c6c
hex6d04b44

114314052 has 48 divisors (see below), whose sum is σ = 283772160. Its totient is φ = 35692032.

The previous prime is 114314041. The next prime is 114314113. The reversal of 114314052 is 250413411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45493 + ... + 47939.

It is an arithmetic number, because the mean of its divisors is an integer number (5911920).

Almost surely, 2114314052 is an apocalyptic number.

114314052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114314052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141886080).

114314052 is an abundant number, since it is smaller than the sum of its proper divisors (169458108).

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

114314052 is a wasteful number, since it uses less digits than its factorization.

114314052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 114314052 is about 10691.7749695736. The cubic root of 114314052 is about 485.3256069813.

Adding to 114314052 its reverse (250413411), we get a palindrome (364727463).

The spelling of 114314052 in words is "one hundred fourteen million, three hundred fourteen thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 229 458 687 916 1374 2447 2748 3893 4894 7341 7786 9788 11679 14682 15572 23358 29364 41599 46716 83198 124797 166396 249594 499188 560363 1120726 1681089 2241452 3362178 6724356 9526171 19052342 28578513 38104684 57157026 114314052