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114024352 = 2513674091
BaseRepresentation
bin1101100101111…
…01111110100000
321221120001000011
412302331332200
5213142234402
615151534304
72553122341
oct662757640
9257501004
10114024352
1159400202
123222a394
131a814040
14112020c8
15a024ed7
hex6cbdfa0

114024352 has 48 divisors (see below), whose sum is σ = 245421792. Its totient is φ = 51828480.

The previous prime is 114024349. The next prime is 114024401. The reversal of 114024352 is 253420411.

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, 25827 + ... + 29917.

It is an arithmetic number, because the mean of its divisors is an integer number (5112954).

Almost surely, 2114024352 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 114024352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122710896).

114024352 is an abundant number, since it is smaller than the sum of its proper divisors (131397440).

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

114024352 is a wasteful number, since it uses less digits than its factorization.

114024352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 114024352 is about 10678.2185780213. The cubic root of 114024352 is about 484.9152819043.

Adding to 114024352 its reverse (253420411), we get a palindrome (367444763).

The spelling of 114024352 in words is "one hundred fourteen million, twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 67 104 134 208 268 416 536 871 1072 1742 2144 3484 4091 6968 8182 13936 16364 27872 32728 53183 65456 106366 130912 212732 274097 425464 548194 850928 1096388 1701856 2192776 3563261 4385552 7126522 8771104 14253044 28506088 57012176 114024352