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234306936 = 233219592903
BaseRepresentation
bin11011111011100…
…11110101111000
3121022220000200200
431331303311320
5434440310221
635130002200
75543401413
oct1575636570
9538800620
10234306936
111102952a6
1266576360
1339709776
1423192b7a
1515884426
hexdf73d78

234306936 has 96 divisors (see below), whose sum is σ = 679536000. Its totient is φ = 72712512.

The previous prime is 234306931. The next prime is 234306949. The reversal of 234306936 is 639603432.

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

It is a self number, because there is not a number n which added to its sum of digits gives 234306936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234306931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79261 + ... + 82163.

It is an arithmetic number, because the mean of its divisors is an integer number (7078500).

Almost surely, 2234306936 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 234306936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339768000).

234306936 is an abundant number, since it is smaller than the sum of its proper divisors (445229064).

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

234306936 is a wasteful number, since it uses less digits than its factorization.

234306936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 234306936 is about 15307.0877700495. The cubic root of 234306936 is about 616.4933291567.

The spelling of 234306936 in words is "two hundred thirty-four million, three hundred six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 59 72 76 114 118 152 171 177 228 236 342 354 456 472 531 684 708 1062 1121 1368 1416 2124 2242 2903 3363 4248 4484 5806 6726 8709 8968 10089 11612 13452 17418 20178 23224 26127 26904 34836 40356 52254 55157 69672 80712 104508 110314 165471 171277 209016 220628 330942 342554 441256 496413 513831 661884 685108 992826 1027662 1323768 1370216 1541493 1985652 2055324 3082986 3254263 3971304 4110648 6165972 6508526 9762789 12331944 13017052 19525578 26034104 29288367 39051156 58576734 78102312 117153468 234306936