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677904344 = 231319536473
BaseRepresentation
bin101000011001111…
…111111111011000
31202020121002221022
4220121333333120
52342020414334
6151133502012
722541043335
oct5031777730
91666532838
10677904344
11318728627
1216b041908
13aa5a4140
146606598c
153e7aa82e
hex2867ffd8

677904344 has 64 divisors (see below), whose sum is σ = 1468303200. Its totient is φ = 290774016.

The previous prime is 677904317. The next prime is 677904347. The reversal of 677904344 is 443409776.

It is a super-2 number, since 2×6779043442 = 919108599228140672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 677904295 and 677904304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677904347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101492 + ... + 107964.

Almost surely, 2677904344 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 677904344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734151600).

677904344 is an abundant number, since it is smaller than the sum of its proper divisors (790398856).

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

677904344 is a wasteful number, since it uses less digits than its factorization.

677904344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The square root of 677904344 is about 26036.5962445171. The cubic root of 677904344 is about 878.4616477305.

The spelling of 677904344 in words is "six hundred seventy-seven million, nine hundred four thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 19 26 38 52 53 76 104 106 152 212 247 424 494 689 988 1007 1378 1976 2014 2756 4028 5512 6473 8056 12946 13091 25892 26182 51784 52364 84149 104728 122987 168298 245974 336596 343069 491948 673192 686138 983896 1372276 1598831 2744552 3197662 4459897 6395324 6518311 8919794 12790648 13036622 17839588 26073244 35679176 52146488 84738043 169476086 338952172 677904344