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114308874 = 23397139157
BaseRepresentation
bin1101101000000…
…11011100001010
321222002111022000
412310003130022
5213230340444
615202011430
72555416011
oct664033412
9258074260
10114308874
1159584a49
1232346b76
131a8b36b4
1411277a78
15a07e469
hex6d0370a

114308874 has 64 divisors (see below), whose sum is σ = 260131200. Its totient is φ = 37200384.

The previous prime is 114308851. The next prime is 114308881. The reversal of 114308874 is 478803411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 728004 + ... + 728160.

It is an arithmetic number, because the mean of its divisors is an integer number (4064550).

Almost surely, 2114308874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114308874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130065600).

114308874 is an abundant number, since it is smaller than the sum of its proper divisors (145822326).

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

114308874 is a wasteful number, since it uses less digits than its factorization.

114308874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 114308874 is about 10691.5328180762. The cubic root of 114308874 is about 485.3182790576.

The spelling of 114308874 in words is "one hundred fourteen million, three hundred eight thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 97 139 157 194 278 291 314 417 471 582 834 873 942 1251 1413 1746 2502 2619 2826 3753 4239 5238 7506 8478 13483 15229 21823 26966 30458 40449 43646 45687 65469 80898 91374 121347 130938 137061 196407 242694 274122 364041 392814 411183 589221 728082 822366 1178442 2116831 4233662 6350493 12700986 19051479 38102958 57154437 114308874