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768328232 = 23731914737
BaseRepresentation
bin101101110010111…
…100001000101000
31222112202010012012
4231302330020220
53033143000412
6204123535052
725016453000
oct5562741050
91875663165
10768328232
11364779411
1219538a488
13c3243cb9
1474083000
15476bcc22
hex2dcbc228

768328232 has 64 divisors (see below), whose sum is σ = 1768560000. Its totient is φ = 311931648.

The previous prime is 768328229. The next prime is 768328237. The reversal of 768328232 is 232823867.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 768328232.

It is not an unprimeable number, because it can be changed into a prime (768328237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44768 + ... + 59504.

It is an arithmetic number, because the mean of its divisors is an integer number (27633750).

Almost surely, 2768328232 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 768328232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884280000).

768328232 is an abundant number, since it is smaller than the sum of its proper divisors (1000231768).

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

768328232 is a wasteful number, since it uses less digits than its factorization.

768328232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14783 (or 14765 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 768328232 is about 27718.7343145390. The cubic root of 768328232 is about 915.9018379074.

The spelling of 768328232 in words is "seven hundred sixty-eight million, three hundred twenty-eight thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 343 392 532 686 931 1064 1372 1862 2744 3724 6517 7448 13034 14737 26068 29474 52136 58948 103159 117896 206318 280003 412636 560006 722113 825272 1120012 1444226 1960021 2240024 2888452 3920042 5054791 5776904 7840084 10109582 13720147 15680168 20219164 27440294 40438328 54880588 96041029 109761176 192082058 384164116 768328232