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674633568 = 25372173829
BaseRepresentation
bin101000001101100…
…001011101100000
31202000102221021110
4220031201131200
52340201233233
6150535423320
722501201500
oct5015413540
91660387243
10674633568
113168a4204
12169b24b40
13a99ca47b
1465853a00
153e361663
hex28361760

674633568 has 144 divisors (see below), whose sum is σ = 2074448880. Its totient is φ = 191407104.

The previous prime is 674633567. The next prime is 674633569. The reversal of 674633568 is 865336476.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (674633567) and next prime (674633569).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674633567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813378 + ... + 814206.

It is an arithmetic number, because the mean of its divisors is an integer number (14405895).

Almost surely, 2674633568 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 674633568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037224440).

674633568 is an abundant number, since it is smaller than the sum of its proper divisors (1399815312).

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

674633568 is a wasteful number, since it uses less digits than its factorization.

674633568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1014 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The square root of 674633568 is about 25973.7091690810. The cubic root of 674633568 is about 877.0465588549.

The spelling of 674633568 in words is "six hundred seventy-four million, six hundred thirty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 173 196 224 294 336 346 392 519 588 672 692 784 829 1038 1176 1211 1384 1568 1658 2076 2352 2422 2487 2768 3316 3633 4152 4704 4844 4974 5536 5803 6632 7266 8304 8477 9688 9948 11606 13264 14532 16608 16954 17409 19376 19896 23212 25431 26528 29064 33908 34818 38752 39792 40621 46424 50862 58128 67816 69636 79584 81242 92848 101724 116256 121863 135632 139272 143417 162484 185696 203448 243726 271264 278544 286834 324968 406896 430251 487452 557088 573668 649936 813792 860502 974904 1003919 1147336 1299872 1721004 1949808 2007838 2294672 3011757 3442008 3899616 4015676 4589344 6023514 6884016 7027433 8031352 12047028 13768032 14054866 16062704 21082299 24094056 28109732 32125408 42164598 48188112 56219464 84329196 96376224 112438928 168658392 224877856 337316784 674633568