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233834364 = 2234312751
BaseRepresentation
bin11011111000000…
…00011101111100
3121022000000110000
431330000131330
5434330144424
635111514300
75536362561
oct1574003574
9538000400
10233834364
1110aaa2245
1266388990
13395a263a
14230ac868
15157de3c9
hexdf0077c

233834364 has 90 divisors (see below), whose sum is σ = 632485392. Its totient is φ = 75330000.

The previous prime is 233834329. The next prime is 233834389. The reversal of 233834364 is 463438332.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 310989 + ... + 311739.

Almost surely, 2233834364 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 233834364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316242696).

233834364 is an abundant number, since it is smaller than the sum of its proper divisors (398651028).

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

233834364 is a wasteful number, since it uses less digits than its factorization.

233834364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 787 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 233834364 is about 15291.6436003459. The cubic root of 233834364 is about 616.0785831889.

The spelling of 233834364 in words is "two hundred thirty-three million, eight hundred thirty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 751 837 961 1116 1502 1674 1922 2253 2511 2883 3004 3348 3844 4506 5022 5766 6759 8649 9012 10044 11532 13518 17298 20277 23281 25947 27036 34596 40554 46562 51894 60831 69843 77841 81108 93124 103788 121662 139686 155682 209529 243324 279372 311364 419058 628587 721711 838116 1257174 1443422 1885761 2165133 2514348 2886844 3771522 4330266 6495399 7543044 8660532 12990798 19486197 25981596 38972394 58458591 77944788 116917182 233834364