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114293808 = 24332311503
BaseRepresentation
bin1101100111111…
…11110000110000
321222001201122000
412303333300300
5213224400213
615201414000
72555324046
oct663776060
9258051560
10114293808
11595746a2
123233a300
131a8a9895
1411272396
15a079c73
hex6cffc30

114293808 has 80 divisors (see below), whose sum is σ = 342359040. Its totient is φ = 36438336.

The previous prime is 114293783. The next prime is 114293813. The reversal of 114293808 is 808392411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4185 + ... + 15687.

It is an arithmetic number, because the mean of its divisors is an integer number (4279488).

Almost surely, 2114293808 is an apocalyptic number.

114293808 is a gapful number since it is divisible by the number (18) 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 114293808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171179520).

114293808 is an abundant number, since it is smaller than the sum of its proper divisors (228065232).

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

114293808 is a wasteful number, since it uses less digits than its factorization.

114293808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11543 (or 11531 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 114293808 is about 10690.8282186181. The cubic root of 114293808 is about 485.2969563431.

The spelling of 114293808 in words is "one hundred fourteen million, two hundred ninety-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 11503 23006 34509 46012 69018 92024 103527 138036 184048 207054 264569 276072 310581 414108 529138 552144 621162 793707 828216 1058276 1242324 1587414 1656432 2116552 2381121 2484648 3174828 4233104 4762242 4969296 6349656 7143363 9524484 12699312 14286726 19048968 28573452 38097936 57146904 114293808