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676954368 = 2833372647
BaseRepresentation
bin101000010110011…
…000000100000000
31202011210211211000
4220112120010000
52341300014433
6151101252000
722530005616
oct5026300400
91664724730
10676954368
11318139922
1216a864000
13aa33091c
1465c996b6
153e66e113
hex28598100

676954368 has 144 divisors (see below), whose sum is σ = 2056754560. Its totient is φ = 219469824.

The previous prime is 676954361. The next prime is 676954379. The reversal of 676954368 is 863459676.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (676954361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254421 + ... + 257067.

Almost surely, 2676954368 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 676954368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028377280).

676954368 is an abundant number, since it is smaller than the sum of its proper divisors (1379800192).

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

676954368 is a wasteful number, since it uses less digits than its factorization.

676954368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2689 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 676954368 is about 26018.3467576247. The cubic root of 676954368 is about 878.0511140968.

The spelling of 676954368 in words is "six hundred seventy-six million, nine hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 576 592 666 768 864 888 999 1152 1184 1332 1728 1776 1998 2304 2368 2647 2664 3456 3552 3996 4736 5294 5328 6912 7104 7941 7992 9472 10588 10656 14208 15882 15984 21176 21312 23823 28416 31764 31968 42352 42624 47646 63528 63936 71469 84704 85248 95292 97939 127056 127872 142938 169408 190584 195878 254112 255744 285876 293817 338816 381168 391756 508224 571752 587634 677632 762336 783512 881451 1016448 1143504 1175268 1524672 1567024 1762902 2032896 2287008 2350536 2644353 3049344 3134048 3525804 4574016 4701072 5288706 6098688 6268096 7051608 9148032 9402144 10577412 12536192 14103216 18296064 18804288 21154824 25072384 28206432 37608576 42309648 56412864 75217152 84619296 112825728 169238592 225651456 338477184 676954368