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323834328 = 23331924153
BaseRepresentation
bin10011010011010…
…101000111011000
3211120100111012000
4103103111013120
51130400144303
652044521000
711011355256
oct2323250730
9746314160
10323834328
11156883584
1290550160
135212455c
14310195d6
151d66ada3
hex134d51d8

323834328 has 96 divisors (see below), whose sum is σ = 949604400. Its totient is φ = 102238848.

The previous prime is 323834297. The next prime is 323834363. The reversal of 323834328 is 823438323.

It is a happy number.

323834328 is a `hidden beast` number, since 323 + 8 + 3 + 4 + 328 = 666.

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 junction number, because it is equal to n+sod(n) for n = 323834292 and 323834301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75900 + ... + 80052.

Almost surely, 2323834328 is an apocalyptic number.

323834328 is a gapful number since it is divisible by the number (38) 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 323834328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474802200).

323834328 is an abundant number, since it is smaller than the sum of its proper divisors (625770072).

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

323834328 is a wasteful number, since it uses less digits than its factorization.

323834328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 4177 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 323834328 is about 17995.3974115605. The cubic root of 323834328 is about 686.7114594632.

The spelling of 323834328 in words is "three hundred twenty-three million, eight hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 361 456 513 684 722 1026 1083 1368 1444 2052 2166 2888 3249 4104 4153 4332 6498 8306 8664 9747 12459 12996 16612 19494 24918 25992 33224 37377 38988 49836 74754 77976 78907 99672 112131 149508 157814 224262 236721 299016 315628 448524 473442 631256 710163 897048 946884 1420326 1499233 1893768 2130489 2840652 2998466 4260978 4497699 5681304 5996932 8521956 8995398 11993864 13493097 17043912 17990796 26986194 35981592 40479291 53972388 80958582 107944776 161917164 323834328