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114240432 = 2434158049
BaseRepresentation
bin1101100111100…
…10101110110000
321221222000102010
412303302232300
5213221143212
615200322520
72555012325
oct663625660
9257860363
10114240432
1159538589
1232313440
131a88b4b7
141125ab4c
15a06903c
hex6cf2bb0

114240432 has 40 divisors (see below), whose sum is σ = 302324400. Its totient is φ = 37150720.

The previous prime is 114240431. The next prime is 114240433. The reversal of 114240432 is 234042411.

It is an interprime number because it is at equal distance from previous prime (114240431) and next prime (114240433).

It is a junction number, because it is equal to n+sod(n) for n = 114240399 and 114240408.

It is not an unprimeable number, because it can be changed into a prime (114240431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27057 + ... + 30992.

It is an arithmetic number, because the mean of its divisors is an integer number (7558110).

Almost surely, 2114240432 is an apocalyptic number.

114240432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114240432 is an abundant number, since it is smaller than the sum of its proper divisors (188083968).

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

114240432 is a wasteful number, since it uses less digits than its factorization.

114240432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58101 (or 58095 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 114240432 is about 10688.3315816829. The cubic root of 114240432 is about 485.2213989000.

Adding to 114240432 its reverse (234042411), we get a palindrome (348282843).

The spelling of 114240432 in words is "one hundred fourteen million, two hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 58049 116098 174147 232196 348294 464392 696588 928784 1393176 2380009 2786352 4760018 7140027 9520036 14280054 19040072 28560108 38080144 57120216 114240432