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674120688 = 24341834127
BaseRepresentation
bin101000001011100…
…100001111110000
31201222110212201220
4220023210033300
52340033330223
6150520425040
722463634303
oct5013441760
91658425656
10674120688
1131658393a
12169918180
13a987aba7
146575cb3a
153e2ae6e3
hex282e43f0

674120688 has 80 divisors (see below), whose sum is σ = 1805884416. Its totient is φ = 216532480.

The previous prime is 674120677. The next prime is 674120743. The reversal of 674120688 is 886021476.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161281 + ... + 165407.

Almost surely, 2674120688 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 674120688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902942208).

674120688 is an abundant number, since it is smaller than the sum of its proper divisors (1131763728).

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

674120688 is a wasteful number, since it uses less digits than its factorization.

674120688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 674120688 is about 25963.8342314844. The cubic root of 674120688 is about 876.8242487011.

The spelling of 674120688 in words is "six hundred seventy-four million, one hundred twenty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 83 123 164 166 246 249 328 332 492 498 656 664 984 996 1328 1968 1992 3403 3984 4127 6806 8254 10209 12381 13612 16508 20418 24762 27224 33016 40836 49524 54448 66032 81672 99048 163344 169207 198096 338414 342541 507621 676828 685082 1015242 1027623 1353656 1370164 2030484 2055246 2707312 2740328 4060968 4110492 5480656 8121936 8220984 14044181 16441968 28088362 42132543 56176724 84265086 112353448 168530172 224706896 337060344 674120688