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1688315406 = 231393376007
BaseRepresentation
bin110010010100001…
…1010011000001110
311100122212022100020
41210220122120032
511424202043111
6435310243010
756560305231
oct14450323016
94318768306
101688315406
11797012398
123b14b6466
1320ba17ccb
14120323418
159d346906
hex64a1a60e

1688315406 has 32 divisors (see below), whose sum is σ = 3411582720. Its totient is φ = 556972416.

The previous prime is 1688315353. The next prime is 1688315411. The reversal of 1688315406 is 6045138861.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 278055 + ... + 284061.

It is an arithmetic number, because the mean of its divisors is an integer number (106611960).

Almost surely, 21688315406 is an apocalyptic number.

1688315406 is an abundant number, since it is smaller than the sum of its proper divisors (1723267314).

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

1688315406 is a wasteful number, since it uses less digits than its factorization.

1688315406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488.

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1688315406 is about 41089.1154200233. The cubic root of 1688315406 is about 1190.7425175563.

The spelling of 1688315406 in words is "one billion, six hundred eighty-eight million, three hundred fifteen thousand, four hundred six".

Divisors: 1 2 3 6 139 278 337 417 674 834 1011 2022 6007 12014 18021 36042 46843 93686 140529 281058 834973 1669946 2024359 2504919 4048718 5009838 6073077 12146154 281385901 562771802 844157703 1688315406