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674080704 = 26341111821
BaseRepresentation
bin101000001011011…
…010011111000000
31201222101211220000
4220023122133000
52340031040304
6150515520000
722463406603
oct5013323700
91658354800
10674080704
113165568a0
121698b9000
13a986592b
146574c33a
153e2a2939
hex282da7c0

674080704 has 140 divisors (see below), whose sum is σ = 2180024088. Its totient is φ = 204249600.

The previous prime is 674080699. The next prime is 674080739. The reversal of 674080704 is 407080476.

It is a happy number.

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

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 19 ways as a sum of consecutive naturals, for example, 51114 + ... + 62934.

Almost surely, 2674080704 is an apocalyptic number.

674080704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674080704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090012044).

674080704 is an abundant number, since it is smaller than the sum of its proper divisors (1505943384).

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

674080704 is a wasteful number, since it uses less digits than its factorization.

674080704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11856 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 674080704 is about 25963.0642259345. The cubic root of 674080704 is about 876.8069127183.

The spelling of 674080704 in words is "six hundred seventy-four million, eighty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 11821 14256 19008 23642 28512 35463 47284 57024 70926 94568 106389 130031 141852 189136 212778 260062 283704 319167 378272 390093 425556 520124 567408 638334 756544 780186 851112 957501 1040248 1134816 1170279 1276668 1560372 1702224 1915002 2080496 2269632 2340558 2553336 3120744 3404448 3510837 3830004 4160992 4681116 5106672 6241488 6808896 7021674 7660008 8321984 9362232 10213344 10532511 12482976 14043348 15320016 18724464 20426688 21065022 24965952 28086696 30640032 37448928 42130044 56173392 61280064 74897856 84260088 112346784 168520176 224693568 337040352 674080704