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677305344 = 2103474691
BaseRepresentation
bin101000010111101…
…101110000000000
31202012110200021010
4220113231300000
52341342232334
6151113000520
722533000102
oct5027556000
91665420233
10677305344
11318359591
1216a9b3140
13aa4245c1
1465d4b572
153e6dd0e9
hex285edc00

677305344 has 88 divisors (see below), whose sum is σ = 1844068608. Its totient is φ = 220917760.

The previous prime is 677305339. The next prime is 677305373. The reversal of 677305344 is 443503776.

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, 142039 + ... + 146729.

Almost surely, 2677305344 is an apocalyptic number.

677305344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922034304).

677305344 is an abundant number, since it is smaller than the sum of its proper divisors (1166763264).

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

677305344 is a wasteful number, since it uses less digits than its factorization.

677305344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4761 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The square root of 677305344 is about 26025.0906626663. The cubic root of 677305344 is about 878.2028336408.

The spelling of 677305344 in words is "six hundred seventy-seven million, three hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 512 564 752 768 1024 1128 1504 1536 2256 3008 3072 4512 4691 6016 9024 9382 12032 14073 18048 18764 24064 28146 36096 37528 48128 56292 72192 75056 112584 144384 150112 220477 225168 300224 440954 450336 600448 661431 881908 900672 1200896 1322862 1763816 1801344 2401792 2645724 3527632 3602688 4803584 5291448 7055264 7205376 10582896 14110528 14410752 21165792 28221056 42331584 56442112 84663168 112884224 169326336 225768448 338652672 677305344