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234113328 = 2434434201
BaseRepresentation
bin11011111010001…
…00100100110000
3121022112012010000
431331010210300
5434413111303
635121510000
75541634101
oct1575044460
9538465100
10234113328
11110172899
12664a2300
133966c5c7
14231423a8
1515846da3
hexdf44930

234113328 has 100 divisors (see below), whose sum is σ = 693514888. Its totient is φ = 76204800.

The previous prime is 234113323. The next prime is 234113353. The reversal of 234113328 is 823311432.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (234113323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53628 + ... + 57828.

Almost surely, 2234113328 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 234113328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346757444).

234113328 is an abundant number, since it is smaller than the sum of its proper divisors (459401560).

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

234113328 is a wasteful number, since it uses less digits than its factorization.

234113328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4249 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 234113328 is about 15300.7623339492. The cubic root of 234113328 is about 616.3234793963.

The spelling of 234113328 in words is "two hundred thirty-four million, one hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 258 324 344 387 432 516 648 688 774 1032 1161 1296 1548 2064 2322 3096 3483 4201 4644 6192 6966 8402 9288 12603 13932 16804 18576 25206 27864 33608 37809 50412 55728 67216 75618 100824 113427 151236 180643 201648 226854 302472 340281 361286 453708 541929 604944 680562 722572 907416 1083858 1361124 1445144 1625787 1814832 2167716 2722248 2890288 3251574 4335432 4877361 5444496 6503148 8670864 9754722 13006296 14632083 19509444 26012592 29264166 39018888 58528332 78037776 117056664 234113328