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114337848 = 23341131887
BaseRepresentation
bin1101101000010…
…10100000111000
321222010222001010
412310022200320
5213232302343
615202353520
72555566332
oct664124070
9258128033
10114337848
11595a4799
123235b8a0
131a8c3941
1411284452
15a087d33
hex6d0a838

114337848 has 64 divisors (see below), whose sum is σ = 295384320. Its totient is φ = 36857600.

The previous prime is 114337841. The next prime is 114337879. The reversal of 114337848 is 848733411.

It is a super-2 number, since 2×1143378482 = 26146286970542208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114337841) by changing a digit.

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, 128461 + ... + 129347.

It is an arithmetic number, because the mean of its divisors is an integer number (4615380).

Almost surely, 2114337848 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 114337848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147692160).

114337848 is an abundant number, since it is smaller than the sum of its proper divisors (181046472).

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

114337848 is a wasteful number, since it uses less digits than its factorization.

114337848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1064 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 114337848 is about 10692.8877297015. The cubic root of 114337848 is about 485.3592803186.

The spelling of 114337848 in words is "one hundred fourteen million, three hundred thirty-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 131 164 246 262 328 393 492 524 786 887 984 1048 1572 1774 2661 3144 3548 5322 5371 7096 10644 10742 16113 21288 21484 32226 36367 42968 64452 72734 109101 116197 128904 145468 218202 232394 290936 348591 436404 464788 697182 872808 929576 1394364 2788728 4764077 9528154 14292231 19056308 28584462 38112616 57168924 114337848