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114315432 = 23372118837
BaseRepresentation
bin1101101000001…
…01000010101000
321222002211021220
412310011002220
5213231043212
615202102040
72555444100
oct664050250
9258084256
10114315432
1159589970
123234a920
131a8b668a
141127a200
15a08138c
hex6d050a8

114315432 has 96 divisors (see below), whose sum is σ = 362711520. Its totient is φ = 29688960.

The previous prime is 114315353. The next prime is 114315469. The reversal of 114315432 is 234513411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8518 + ... + 17354.

It is an arithmetic number, because the mean of its divisors is an integer number (3778245).

Almost surely, 2114315432 is an apocalyptic number.

114315432 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 114315432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181355760).

114315432 is an abundant number, since it is smaller than the sum of its proper divisors (248396088).

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

114315432 is a wasteful number, since it uses less digits than its factorization.

114315432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8871 (or 8860 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 114315432 is about 10691.8395049683. The cubic root of 114315432 is about 485.3275599247.

Adding to 114315432 its reverse (234513411), we get a palindrome (348828843).

The spelling of 114315432 in words is "one hundred fourteen million, three hundred fifteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 4312 6468 8837 12936 17674 26511 35348 53022 61859 70696 97207 106044 123718 185577 194414 212088 247436 291621 371154 388828 433013 494872 583242 680449 742308 777656 866026 1166484 1299039 1360898 1484616 1732052 2041347 2332968 2598078 2721796 3464104 4082694 4763143 5196156 5443592 8165388 9526286 10392312 14289429 16330776 19052572 28578858 38105144 57157716 114315432