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677742744 = 23374034183
BaseRepresentation
bin101000011001011…
…000100010011000
31202020021220021010
4220121120202120
52342000231434
6151130213520
722536501240
oct5031304230
91666256233
10677742744
11318628178
1216ab842a0
13aa548713
1466022b20
153e7779e9
hex28658898

677742744 has 32 divisors (see below), whose sum is σ = 1936408320. Its totient is φ = 193640736.

The previous prime is 677742719. The next prime is 677742799. The reversal of 677742744 is 447247776.

It is a super-3 number, since 3×6777427443 (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 677742693 and 677742702.

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 7 ways as a sum of consecutive naturals, for example, 2016924 + ... + 2017259.

It is an arithmetic number, because the mean of its divisors is an integer number (60512760).

Almost surely, 2677742744 is an apocalyptic number.

It is an amenable number.

677742744 is an abundant number, since it is smaller than the sum of its proper divisors (1258665576).

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

677742744 is a wasteful number, since it uses less digits than its factorization.

677742744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034199 (or 4034195 counting only the distinct ones).

The product of its digits is 1843968, while the sum is 48.

The square root of 677742744 is about 26033.4927353208. The cubic root of 677742744 is about 878.3918391185.

The spelling of 677742744 in words is "six hundred seventy-seven million, seven hundred forty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 4034183 8068366 12102549 16136732 24205098 28239281 32273464 48410196 56478562 84717843 96820392 112957124 169435686 225914248 338871372 677742744