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1688705352 = 2332110921149
BaseRepresentation
bin110010010100111…
…1001100101001000
311100200121010020200
41210221321211020
511424302032402
6435322452200
756563521135
oct14451714510
94320533220
101688705352
11797259364
123b1664060
1320bb23649
141203c558c
159d3c221c
hex64a79948

1688705352 has 48 divisors (see below), whose sum is σ = 4577917500. Its totient is φ = 562367616.

The previous prime is 1688705341. The next prime is 1688705363. The reversal of 1688705352 is 2535078861.

It is an interprime number because it is at equal distance from previous prime (1688705341) and next prime (1688705363).

It can be written as a sum of positive squares in 2 ways, for example, as 1211457636 + 477247716 = 34806^2 + 21846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1688705298 and 1688705307.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69274 + ... + 90422.

Almost surely, 21688705352 is an apocalyptic number.

1688705352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1688705352 is an abundant number, since it is smaller than the sum of its proper divisors (2889212148).

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

1688705352 is a wasteful number, since it uses less digits than its factorization.

1688705352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22270 (or 22263 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1688705352 is about 41093.8602713349. The cubic root of 1688705352 is about 1190.8341847761.

The spelling of 1688705352 in words is "one billion, six hundred eighty-eight million, seven hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1109 2218 3327 4436 6654 8872 9981 13308 19962 21149 26616 39924 42298 63447 79848 84596 126894 169192 190341 253788 380682 507576 761364 1522728 23454241 46908482 70362723 93816964 140725446 187633928 211088169 281450892 422176338 562901784 844352676 1688705352