Search a number
-
+
114356304 = 2432794141
BaseRepresentation
bin1101101000011…
…11000001010000
321222011220100200
412310033001100
5213233400204
615203015200
72556004206
oct664170120
9258156320
10114356304
1159607647
123236a500
131a8cc16a
141128b076
15a08d539
hex6d0f050

114356304 has 30 divisors (see below), whose sum is σ = 320039226. Its totient is φ = 38118720.

The previous prime is 114356293. The next prime is 114356327. The reversal of 114356304 is 403653411.

114356304 is a `hidden beast` number, since 1 + 1 + 4 + 356 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81866304 + 32490000 = 9048^2 + 5700^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 396927 + ... + 397214.

Almost surely, 2114356304 is an apocalyptic number.

It is an amenable number.

114356304 is an abundant number, since it is smaller than the sum of its proper divisors (205682922).

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

114356304 is a wasteful number, since it uses less digits than its factorization.

114356304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794155 (or 794146 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 114356304 is about 10693.7506984220. The cubic root of 114356304 is about 485.3853938908.

The spelling of 114356304 in words is "one hundred fourteen million, three hundred fifty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 794141 1588282 2382423 3176564 4764846 6353128 7147269 9529692 12706256 14294538 19059384 28589076 38118768 57178152 114356304