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1688688336 = 243172389977
BaseRepresentation
bin110010010100111…
…0101011011010000
311100200120020220110
41210221311123100
511424301011321
6435322241320
756563420416
oct14451653320
94320506813
101688688336
117972475a5
123b1656240
1320bb1898a
141203bd2b6
159d3bc176
hex64a756d0

1688688336 has 80 divisors (see below), whose sum is σ = 4819941504. Its totient is φ = 506744832.

The previous prime is 1688688317. The next prime is 1688688349. The reversal of 1688688336 is 6338868861.

It is a happy number.

It is a super-2 number, since 2×16886883362 = 5703336592284897792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26221 + ... + 63756.

Almost surely, 21688688336 is an apocalyptic number.

1688688336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1688688336 is an abundant number, since it is smaller than the sum of its proper divisors (3131253168).

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

1688688336 is a wasteful number, since it uses less digits than its factorization.

1688688336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90028 (or 90022 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 57.

The square root of 1688688336 is about 41093.6532325857. The cubic root of 1688688336 is about 1190.8301850054.

The spelling of 1688688336 in words is "one billion, six hundred eighty-eight million, six hundred eighty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 782 816 1104 1173 1564 2346 3128 4692 6256 9384 18768 89977 179954 269931 359908 539862 719816 1079724 1439632 1529609 2069471 2159448 3059218 4138942 4318896 4588827 6118436 6208413 8277884 9177654 12236872 12416826 16555768 18355308 24473744 24833652 33111536 35181007 36710616 49667304 70362014 73421232 99334608 105543021 140724028 211086042 281448056 422172084 562896112 844344168 1688688336