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1680034304 = 2913252409
BaseRepresentation
bin110010000100011…
…0100101000000000
311100002021120210202
41210020310220000
511420042044204
6434412544332
756430025124
oct14410645000
94302246722
101680034304
11792376703
123aa7820a8
1320a0a8950
1411d1a9584
159c75ce1e
hex64234a00

1680034304 has 40 divisors (see below), whose sum is σ = 3615016020. Its totient is φ = 775397376.

The previous prime is 1680034297. The next prime is 1680034387. The reversal of 1680034304 is 4034300861.

It can be written as a sum of positive squares in 2 ways, for example, as 1371961600 + 308072704 = 37040^2 + 17552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119549 + ... + 132860.

Almost surely, 21680034304 is an apocalyptic number.

It is an amenable number.

1680034304 is an abundant number, since it is smaller than the sum of its proper divisors (1934981716).

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

1680034304 is an equidigital number, since it uses as much as digits as its factorization.

1680034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252440 (or 252424 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 1680034304 is about 40988.2215276535. The cubic root of 1680034304 is about 1188.7924817792.

The spelling of 1680034304 in words is "one billion, six hundred eighty million, thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 252409 504818 1009636 2019272 3281317 4038544 6562634 8077088 13125268 16154176 26250536 32308352 52501072 64616704 105002144 129233408 210004288 420008576 840017152 1680034304