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679304448 = 2833234273
BaseRepresentation
bin101000011111010…
…101110100000000
31202100020020112000
4220133111310000
52342400220243
6151223504000
722555664304
oct5037256400
91670206460
10679304448
113194a4539
1216b5b8000
13aa9744c4
146630bd04
153e9855d3
hex287d5d00

679304448 has 144 divisors (see below), whose sum is σ = 2096653440. Its totient is φ = 216539136.

The previous prime is 679304447. The next prime is 679304477. The reversal of 679304448 is 844403976.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6793044482 = 922909066145169408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679304447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156840 + ... + 161112.

Almost surely, 2679304448 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 679304448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048326720).

679304448 is an abundant number, since it is smaller than the sum of its proper divisors (1417348992).

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

679304448 is a wasteful number, since it uses less digits than its factorization.

679304448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 679304448 is about 26063.4696078630. The cubic root of 679304448 is about 879.0660062956.

The spelling of 679304448 in words is "six hundred seventy-nine million, three hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 552 576 621 736 768 828 864 1104 1152 1242 1472 1656 1728 2208 2304 2484 2944 3312 3456 4273 4416 4968 5888 6624 6912 8546 8832 9936 12819 13248 17092 17664 19872 25638 26496 34184 38457 39744 51276 52992 68368 76914 79488 98279 102552 115371 136736 153828 158976 196558 205104 230742 273472 294837 307656 393116 410208 461484 546944 589674 615312 786232 820416 884511 922968 1093888 1179348 1230624 1572464 1640832 1769022 1845936 2358696 2461248 2653533 3144928 3281664 3538044 3691872 4717392 4922496 5307066 6289856 7076088 7383744 9434784 9844992 10614132 12579712 14152176 14767488 18869568 21228264 25159424 28304352 29534976 37739136 42456528 56608704 75478272 84913056 113217408 169826112 226434816 339652224 679304448