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830211824 = 24132307031
BaseRepresentation
bin110001011111000…
…000011011110000
32010212012010112002
4301133000123300
53200013234244
6214214153132
726400453431
oct6137003360
92125163462
10830211824
113966a6482
121b20527a8
13103000400
147c391488
154cd43a4e
hex317c06f0

830211824 has 30 divisors (see below), whose sum is σ = 1741792536. Its totient is φ = 383173440.

The previous prime is 830211799. The next prime is 830211839. The reversal of 830211824 is 428112038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150812 + ... + 156219.

Almost surely, 2830211824 is an apocalyptic number.

It is an amenable number.

830211824 is an abundant number, since it is smaller than the sum of its proper divisors (911580712).

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

830211824 is a wasteful number, since it uses less digits than its factorization.

830211824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307065 (or 307046 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 830211824 is about 28813.3966064399. The cubic root of 830211824 is about 939.8595776357.

The spelling of 830211824 in words is "eight hundred thirty million, two hundred eleven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 307031 614062 1228124 2456248 3991403 4912496 7982806 15965612 31931224 51888239 63862448 103776478 207552956 415105912 830211824