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677235064 = 231122412903
BaseRepresentation
bin101000010111011…
…100100101111000
31202012100002212011
4220113130211320
52341333010224
6151111255304
722532255152
oct5027344570
91665302764
10677235064
11318310800
1216a97a534
13aa3cb60c
1465d2dad2
153e6c7394
hex285dc978

677235064 has 48 divisors (see below), whose sum is σ = 1402022160. Its totient is φ = 306451200.

The previous prime is 677235061. The next prime is 677235073. The reversal of 677235064 is 460532776.

677235064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6772350642 = 917294663822168192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677235061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231837 + ... + 234739.

It is an arithmetic number, because the mean of its divisors is an integer number (29208795).

Almost surely, 2677235064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677235064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701011080).

677235064 is an abundant number, since it is smaller than the sum of its proper divisors (724787096).

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

677235064 is a wasteful number, since it uses less digits than its factorization.

677235064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The square root of 677235064 is about 26023.7403921881. The cubic root of 677235064 is about 878.1724572723.

The spelling of 677235064 in words is "six hundred seventy-seven million, two hundred thirty-five thousand, sixty-four".

Divisors: 1 2 4 8 11 22 44 88 121 241 242 482 484 964 968 1928 2651 2903 5302 5806 10604 11612 21208 23224 29161 31933 58322 63866 116644 127732 233288 255464 351263 699623 702526 1399246 1405052 2798492 2810104 5596984 7695853 15391706 30783412 61566824 84654383 169308766 338617532 677235064