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830668272 = 24372472227
BaseRepresentation
bin110001100000101…
…111110111110000
32010220001022122120
4301200233313300
53200122341042
6214232034240
726404364250
oct6140576760
92126038576
10830668272
11396988405
121b2232980
131031300b5
147c46d960
154cdd3dec
hex3182fdf0

830668272 has 40 divisors (see below), whose sum is σ = 2452450176. Its totient is φ = 237333696.

The previous prime is 830668261. The next prime is 830668283. The reversal of 830668272 is 272866038.

It is an interprime number because it is at equal distance from previous prime (830668261) and next prime (830668283).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1235778 + ... + 1236449.

Almost surely, 2830668272 is an apocalyptic number.

It is an amenable number.

830668272 is an abundant number, since it is smaller than the sum of its proper divisors (1621781904).

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

830668272 is a wasteful number, since it uses less digits than its factorization.

830668272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472245 (or 2472239 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 830668272 is about 28821.3162780606. The cubic root of 830668272 is about 940.0317900823.

The spelling of 830668272 in words is "eight hundred thirty million, six hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2472227 4944454 7416681 9888908 14833362 17305589 19777816 29666724 34611178 39555632 51916767 59333448 69222356 103833534 118666896 138444712 207667068 276889424 415334136 830668272