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683345664 = 2832296591
BaseRepresentation
bin101000101110110…
…000011100000000
31202121211120000200
4220232300130000
52344414030124
6151450245200
722635225261
oct5056603400
91677746020
10683345664
11320804791
12170a26800
13ab75aa61
1466a80968
153eed2bc9
hex28bb0700

683345664 has 54 divisors (see below), whose sum is σ = 1970260656. Its totient is φ = 227781120.

The previous prime is 683345653. The next prime is 683345701. The reversal of 683345664 is 466543386.

683345664 is a `hidden beast` number, since 6 + 83 + 3 + 4 + 566 + 4 = 666.

It is a super-2 number, since 2×6833456642 = 933922593015201792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145992 + ... + 150599.

Almost surely, 2683345664 is an apocalyptic number.

683345664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

683345664 is an abundant number, since it is smaller than the sum of its proper divisors (1286914992).

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

683345664 is a wasteful number, since it uses less digits than its factorization.

683345664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296613 (or 296596 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 683345664 is about 26140.8810869106. The cubic root of 683345664 is about 880.8057633629.

The spelling of 683345664 in words is "six hundred eighty-three million, three hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 296591 593182 889773 1186364 1779546 2372728 2669319 3559092 4745456 5338638 7118184 9490912 10677276 14236368 18981824 21354552 28472736 37963648 42709104 56945472 75927296 85418208 113890944 170836416 227781888 341672832 683345664