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830567424 = 2103299323
BaseRepresentation
bin110001100000010…
…111010000000000
32010212212012022110
4301200113100000
53200111124144
6214225535320
726403464241
oct6140272000
92125765273
10830567424
11396919665
121b21a4540
131030c621b
147c444cc8
154cdb40b9
hex31817400

830567424 has 88 divisors (see below), whose sum is σ = 2290347360. Its totient is φ = 267280384.

The previous prime is 830567401. The next prime is 830567449. The reversal of 830567424 is 424765038.

It is a happy number.

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, 84427 + ... + 93749.

Almost surely, 2830567424 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 830567424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145173680).

830567424 is an abundant number, since it is smaller than the sum of its proper divisors (1459779936).

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

830567424 is a wasteful number, since it uses less digits than its factorization.

830567424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9375 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 830567424 is about 28819.5666865413. The cubic root of 830567424 is about 939.9937467518.

The spelling of 830567424 in words is "eight hundred thirty million, five hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2784 3072 3712 5568 7424 9323 11136 14848 18646 22272 27969 29696 37292 44544 55938 74584 89088 111876 149168 223752 270367 298336 447504 540734 596672 811101 895008 1081468 1193344 1622202 1790016 2162936 2386688 3244404 3580032 4325872 4773376 6488808 7160064 8651744 9546752 12977616 14320128 17303488 25955232 28640256 34606976 51910464 69213952 103820928 138427904 207641856 276855808 415283712 830567424