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234881136 = 24327435419
BaseRepresentation
bin11100000000000…
…00000001110000
3121100222012100100
432000000001300
5440112144021
635150152400
75551312440
oct1600000160
9540865310
10234881136
11110647746
12667b2700
133987ac29
14232a2120
1515949626
hexe000070

234881136 has 120 divisors (see below), whose sum is σ = 768859520. Its totient is φ = 65536128.

The previous prime is 234881131. The next prime is 234881161. The reversal of 234881136 is 631188432.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 234881136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234881131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40635 + ... + 46053.

Almost surely, 2234881136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234881136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384429760).

234881136 is an abundant number, since it is smaller than the sum of its proper divisors (533978384).

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

234881136 is a wasteful number, since it uses less digits than its factorization.

234881136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5483 (or 5474 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 234881136 is about 15325.8323101879. The cubic root of 234881136 is about 616.9965176978.

The spelling of 234881136 in words is "two hundred thirty-four million, eight hundred eighty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 774 903 1008 1032 1204 1548 1806 2064 2408 2709 3096 3612 4816 5418 5419 6192 7224 10836 10838 14448 16257 21672 21676 32514 37933 43344 43352 48771 65028 75866 86704 97542 113799 130056 151732 195084 227598 233017 260112 303464 341397 390168 455196 466034 606928 682794 699051 780336 910392 932068 1365588 1398102 1631119 1820784 1864136 2097153 2731176 2796204 3262238 3728272 4194306 4893357 5462352 5592408 6524476 8388612 9786714 11184816 13048952 14680071 16777224 19573428 26097904 29360142 33554448 39146856 58720284 78293712 117440568 234881136