Search a number
-
+
114274336 = 251132683
BaseRepresentation
bin1101100111110…
…11000000100000
321222000201220211
412303323000200
5213223234321
615201143504
72555213221
oct663730040
9258021824
10114274336
1159561000
123232ab94
131a8a0a67
1411269248
15a0740e1
hex6cfb020

114274336 has 48 divisors (see below), whose sum is σ = 247550688. Its totient is φ = 51923520.

The previous prime is 114274319. The next prime is 114274337. The reversal of 114274336 is 633472411.

It is a junction number, because it is equal to n+sod(n) for n = 114274298 and 114274307.

It is not an unprimeable number, because it can be changed into a prime (114274337) 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, 41251 + ... + 43933.

It is an arithmetic number, because the mean of its divisors is an integer number (5157306).

Almost surely, 2114274336 is an apocalyptic number.

114274336 is a gapful number since it is divisible by the number (16) 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 114274336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123775344).

114274336 is an abundant number, since it is smaller than the sum of its proper divisors (133276352).

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

114274336 is an equidigital number, since it uses as much as digits as its factorization.

114274336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2696 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 114274336 is about 10689.9174926657. The cubic root of 114274336 is about 485.2693950979.

The spelling of 114274336 in words is "one hundred fourteen million, two hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1331 1936 2662 2683 3872 5324 5366 10648 10732 21296 21464 29513 42592 42928 59026 85856 118052 236104 324643 472208 649286 944416 1298572 2597144 3571073 5194288 7142146 10388576 14284292 28568584 57137168 114274336