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234967104 = 26323113159
BaseRepresentation
bin11100000000101…
…01000001000000
3121101010120021100
432000111001000
5440122421404
635152054400
75552121201
oct1600250100
9541116240
10234967104
111106a6299
1266834400
13398ab0b8
14232c55a8
1515964d39
hexe015040

234967104 has 84 divisors (see below), whose sum is σ = 695269120. Its totient is φ = 75790080.

The previous prime is 234967099. The next prime is 234967111. The reversal of 234967104 is 401769432.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11277 + ... + 24435.

Almost surely, 2234967104 is an apocalyptic number.

234967104 is a gapful number since it is divisible by the number (24) 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 234967104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347634560).

234967104 is an abundant number, since it is smaller than the sum of its proper divisors (460302016).

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

234967104 is a wasteful number, since it uses less digits than its factorization.

234967104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13208 (or 13195 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 234967104 is about 15328.6367299900. The cubic root of 234967104 is about 617.0717834082.

The spelling of 234967104 in words is "two hundred thirty-four million, nine hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 13159 17856 26318 39477 52636 78954 105272 118431 157908 210544 236862 315816 407929 421088 473724 631632 815858 842176 947448 1223787 1263264 1631716 1894896 2447574 2526528 3263432 3671361 3789792 4895148 6526864 7342722 7579584 9790296 13053728 14685444 19580592 26107456 29370888 39161184 58741776 78322368 117483552 234967104