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830432328 = 233113145577
BaseRepresentation
bin110001011111110…
…110010001001000
32010212121022222220
4301133312101020
53200042313303
6214223014040
726402362335
oct6137662110
92125538886
10830432328
11396837110
121b213a320
1310307989b
147c40b98c
154cd89053
hex317f6448

830432328 has 32 divisors (see below), whose sum is σ = 2264816160. Its totient is φ = 251646080.

The previous prime is 830432311. The next prime is 830432333. The reversal of 830432328 is 823234038.

830432328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1572525 + ... + 1573052.

It is an arithmetic number, because the mean of its divisors is an integer number (70775505).

Almost surely, 2830432328 is an apocalyptic number.

830432328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

830432328 is an abundant number, since it is smaller than the sum of its proper divisors (1434383832).

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

830432328 is a wasteful number, since it uses less digits than its factorization.

830432328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145597 (or 3145593 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 830432328 is about 28817.2227669496. Note that the first 3 decimals coincide. The cubic root of 830432328 is about 939.9427790731.

The spelling of 830432328 in words is "eight hundred thirty million, four hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 3145577 6291154 9436731 12582308 18873462 25164616 34601347 37746924 69202694 75493848 103804041 138405388 207608082 276810776 415216164 830432328