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674234624 = 2873153229
BaseRepresentation
bin101000001100000…
…000000100000000
31201222200200000202
4220030000010000
52340101001444
6150523104332
722464620420
oct5014000400
91658620022
10674234624
113166514a8
121699720a8
13a98ba9cb
146578c480
153e2d334e
hex28300100

674234624 has 144 divisors (see below), whose sum is σ = 1624734720. Its totient is φ = 273162240.

The previous prime is 674234621. The next prime is 674234629. The reversal of 674234624 is 426432476.

Its product of digits (193536) is a multiple of the sum of its prime factors (336).

It is not an unprimeable number, because it can be changed into a prime (674234621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2944142 + ... + 2944370.

It is an arithmetic number, because the mean of its divisors is an integer number (11282880).

Almost surely, 2674234624 is an apocalyptic number.

674234624 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 674234624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812367360).

674234624 is an abundant number, since it is smaller than the sum of its proper divisors (950500096).

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

674234624 is a wasteful number, since it uses less digits than its factorization.

674234624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its digits is 193536, while the sum is 38.

The square root of 674234624 is about 25966.0282677193. The cubic root of 674234624 is about 876.8736445149.

The spelling of 674234624 in words is "six hundred seventy-four million, two hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 53 56 62 64 106 112 124 128 212 217 224 229 248 256 371 424 434 448 458 496 742 848 868 896 916 992 1484 1603 1643 1696 1736 1792 1832 1984 2968 3206 3286 3392 3472 3664 3968 5936 6412 6572 6784 6944 7099 7328 7936 11501 11872 12137 12824 13144 13568 13888 14198 14656 23002 23744 24274 25648 26288 27776 28396 29312 46004 47488 48548 49693 51296 52576 55552 56792 58624 84959 92008 94976 97096 99386 102592 105152 113584 169918 184016 194192 198772 205184 210304 227168 339836 368032 376247 388384 397544 410368 420608 454336 679672 736064 752494 776768 795088 908672 1359344 1472128 1504988 1553536 1590176 1817344 2633729 2718688 2944256 3009976 3107072 3180352 5267458 5437376 6019952 6360704 10534916 10874752 12039904 12721408 21069832 21749504 24079808 42139664 48159616 84279328 96319232 168558656 337117312 674234624