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677670714 = 232741233563
BaseRepresentation
bin101000011001000…
…110111100111010
31202020011020110100
4220121012330322
52341440430324
6151124500230
722536051240
oct5031067472
91666136410
10677670714
11318589046
1216ab4a676
13aa5219b6
1466004790
153e7614c9
hex28646f3a

677670714 has 96 divisors (see below), whose sum is σ = 1729413504. Its totient is φ = 187752960.

The previous prime is 677670713. The next prime is 677670737. The reversal of 677670714 is 417076776.

677670714 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 2×6776707142 = 918475193226539592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 677670714.

It is not an unprimeable number, because it can be changed into a prime (677670713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203397 + ... + 1203959.

It is an arithmetic number, because the mean of its divisors is an integer number (18014724).

Almost surely, 2677670714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677670714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864706752).

677670714 is an abundant number, since it is smaller than the sum of its proper divisors (1051742790).

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

677670714 is a wasteful number, since it uses less digits than its factorization.

677670714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The square root of 677670714 is about 26032.1092883385. The cubic root of 677670714 is about 878.3607197366.

It can be divided in two parts, 6776707 and 14, that added together give a triangular number (6776721 = T3681).

The spelling of 677670714 in words is "six hundred seventy-seven million, six hundred seventy thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 233 246 287 369 466 563 574 699 738 861 1126 1398 1631 1689 1722 2097 2583 3262 3378 3941 4194 4893 5067 5166 7882 9553 9786 10134 11823 14679 19106 23083 23646 28659 29358 35469 46166 57318 66871 69249 70938 85977 131179 133742 138498 161581 171954 200613 207747 262358 323162 393537 401226 415494 484743 601839 787074 918253 969486 1180611 1203678 1454229 1836506 2361222 2754759 2908458 5378339 5509518 8264277 10756678 16135017 16528554 32270034 37648373 48405051 75296746 96810102 112945119 225890238 338835357 677670714