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674048256 = 2837196599
BaseRepresentation
bin101000001011010…
…010100100000000
31201222100012101020
4220023102210000
52340024021011
6150515105440
722463213160
oct5013224400
91658305336
10674048256
11316534482
121698a2280
13a9853c2b
14657405a0
153e298006
hex282d2900

674048256 has 144 divisors (see below), whose sum is σ = 2158464000. Its totient is φ = 182421504.

The previous prime is 674048251. The next prime is 674048269. The reversal of 674048256 is 652840476.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (674048251) 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, 98845 + ... + 105443.

Almost surely, 2674048256 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 674048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079232000).

674048256 is an abundant number, since it is smaller than the sum of its proper divisors (1484415744).

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

674048256 is a wasteful number, since it uses less digits than its factorization.

674048256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 674048256 is about 25962.4393306946. The cubic root of 674048256 is about 876.7928436378.

The spelling of 674048256 in words is "six hundred seventy-four million, forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1344 1596 1792 1824 2128 2432 2688 3192 3648 4256 4864 5376 6384 6599 7296 8512 12768 13198 14592 17024 19797 25536 26396 34048 39594 46193 51072 52792 79188 92386 102144 105584 125381 138579 158376 184772 211168 250762 277158 316752 369544 376143 422336 501524 554316 633504 739088 752286 844672 877667 1003048 1108632 1267008 1478176 1504572 1689344 1755334 2006096 2217264 2534016 2633001 2956352 3009144 3510668 4012192 4434528 5068032 5266002 5912704 6018288 7021336 8024384 8869056 10532004 11825408 12036576 14042672 16048768 17738112 21064008 24073152 28085344 32097536 35476224 42128016 48146304 56170688 84256032 96292608 112341376 168512064 224682752 337024128 674048256