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674379936 = 253217181761
BaseRepresentation
bin101000001100100…
…011100010100000
31201222222001100200
4220030203202200
52340120124221
6150530145200
722466064156
oct5014434240
91658861320
10674379936
1131674069a
12169a22200
13a993bba9
14657c93d6
153e311426
hex283238a0

674379936 has 144 divisors (see below), whose sum is σ = 2044479528. Its totient is φ = 210124800.

The previous prime is 674379917. The next prime is 674379943. The reversal of 674379936 is 639973476.

It can be written as a sum of positive squares in 4 ways, for example, as 226803600 + 447576336 = 15060^2 + 21156^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 885796 + ... + 886556.

Almost surely, 2674379936 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 674379936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022239764).

674379936 is an abundant number, since it is smaller than the sum of its proper divisors (1370099592).

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

674379936 is a wasteful number, since it uses less digits than its factorization.

674379936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 964 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 674379936 is about 25968.8262345451. The cubic root of 674379936 is about 876.9366350059.

The spelling of 674379936 in words is "six hundred seventy-four million, three hundred seventy-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 181 204 272 288 306 362 408 543 544 612 724 761 816 1086 1224 1448 1522 1629 1632 2172 2283 2448 2896 3044 3077 3258 4344 4566 4896 5792 6088 6154 6516 6849 8688 9132 9231 12176 12308 12937 13032 13698 17376 18264 18462 24352 24616 25874 26064 27396 27693 36528 36924 38811 49232 51748 52128 54792 55386 73056 73848 77622 98464 103496 109584 110772 116433 137741 147696 155244 206992 219168 221544 232866 275482 295392 310488 413223 413984 443088 465732 550964 620976 826446 886176 931464 1101928 1239669 1241952 1652892 1862928 2203856 2341597 2479338 3305784 3725856 4407712 4683194 4958676 6611568 7024791 9366388 9917352 13223136 14049582 18732776 19834704 21074373 28099164 37465552 39669408 42148746 56198328 74931104 84297492 112396656 168594984 224793312 337189968 674379936