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234708672 = 26311195849
BaseRepresentation
bin11011111110101…
…01111011000000
3121100122102202210
431333111323000
5440041134142
635142342120
75546663562
oct1577257300
9540572683
10234708672
1111053a110
126672a940
133981a593
1423259332
151591349c
hexdfd5ec0

234708672 has 112 divisors (see below), whose sum is σ = 713232000. Its totient is φ = 67368960.

The previous prime is 234708671. The next prime is 234708689. The reversal of 234708672 is 276807432.

It is a self number, because there is not a number n which added to its sum of digits gives 234708672.

It is not an unprimeable number, because it can be changed into a prime (234708671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37204 + ... + 43052.

Almost surely, 2234708672 is an apocalyptic number.

234708672 is a gapful number since it is divisible by the number (22) 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 234708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356616000).

234708672 is an abundant number, since it is smaller than the sum of its proper divisors (478523328).

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

234708672 is a wasteful number, since it uses less digits than its factorization.

234708672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5894 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 234708672 is about 15320.2046983714. The cubic root of 234708672 is about 616.8454686125.

The spelling of 234708672 in words is "two hundred thirty-four million, seven hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 704 836 912 1056 1216 1254 1672 1824 2112 2508 3344 3648 5016 5849 6688 10032 11698 13376 17547 20064 23396 35094 40128 46792 64339 70188 93584 111131 128678 140376 187168 193017 222262 257356 280752 333393 374336 386034 444524 514712 561504 666786 772068 889048 1029424 1123008 1222441 1333572 1544136 1778096 2058848 2444882 2667144 3088272 3556192 3667323 4117696 4889764 5334288 6176544 7112384 7334646 9779528 10668576 12353088 14669292 19559056 21337152 29338584 39118112 58677168 78236224 117354336 234708672