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1677138340 = 22583856917
BaseRepresentation
bin110001111110111…
…0001100110100100
311022212211110021211
41203331301212210
511413321411330
6434230521204
756363304103
oct14375614644
94285743254
101677138340
11790778949
123a9806204
13209603767
1411ca5403a
159c389d2a
hex63f719a4

1677138340 has 12 divisors (see below), whose sum is σ = 3521990556. Its totient is φ = 670855328.

The previous prime is 1677138319. The next prime is 1677138343. The reversal of 1677138340 is 438317761.

It can be written as a sum of positive squares in 2 ways, for example, as 271788196 + 1405350144 = 16486^2 + 37488^2 .

It is a super-2 number, since 2×16771383402 = 5625586022995911200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1677138293 and 1677138302.

It is not an unprimeable number, because it can be changed into a prime (1677138343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41928439 + ... + 41928478.

It is an arithmetic number, because the mean of its divisors is an integer number (293499213).

Almost surely, 21677138340 is an apocalyptic number.

1677138340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1677138340 is an abundant number, since it is smaller than the sum of its proper divisors (1844852216).

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

1677138340 is a wasteful number, since it uses less digits than its factorization.

1677138340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83856926 (or 83856924 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 1677138340 is about 40952.8795080395. The cubic root of 1677138340 is about 1188.1090274314.

The spelling of 1677138340 in words is "one billion, six hundred seventy-seven million, one hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 83856917 167713834 335427668 419284585 838569170 1677138340