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676014336 = 283510867
BaseRepresentation
bin101000010010110…
…010100100000000
31202010001002100000
4220102302210000
52341024424321
6151025200000
722516012164
oct5022624400
91663032300
10676014336
11317657638
1216a490000
13aa091aaa
1465ad2ca4
153e535826
hex284b2900

676014336 has 108 divisors (see below), whose sum is σ = 2021491472. Its totient is φ = 225317376.

The previous prime is 676014329. The next prime is 676014349. The reversal of 676014336 is 633410676.

It is a happy number.

676014336 is a `hidden beast` number, since 6 + 7 + 601 + 43 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 676014336.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56775 + ... + 67641.

Almost surely, 2676014336 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 676014336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010745736).

676014336 is an abundant number, since it is smaller than the sum of its proper divisors (1345477136).

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

676014336 is an equidigital number, since it uses as much as digits as its factorization.

676014336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10898 (or 10872 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 676014336 is about 26000.2756908460. The cubic root of 676014336 is about 877.6444995436.

The spelling of 676014336 in words is "six hundred seventy-six million, fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 10867 15552 20736 21734 31104 32601 43468 62208 65202 86936 97803 130404 173872 195606 260808 293409 347744 391212 521616 586818 695488 782424 880227 1043232 1173636 1390976 1564848 1760454 2086464 2347272 2640681 2781952 3129696 3520908 4172928 4694544 5281362 6259392 7041816 8345856 9389088 10562724 12518784 14083632 18778176 21125448 25037568 28167264 37556352 42250896 56334528 75112704 84501792 112669056 169003584 225338112 338007168 676014336