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674452440 = 23335727859
BaseRepresentation
bin101000001100110…
…101001111011000
31202000002201211000
4220030311033120
52340124434230
6150531505000
722466515434
oct5014651730
91660081730
10674452440
11316790112
12169a58160
13a9965bac
14658079c4
153e327b60
hex283353d8

674452440 has 128 divisors (see below), whose sum is σ = 2253888000. Its totient is φ = 179397504.

The previous prime is 674452409. The next prime is 674452459. The reversal of 674452440 is 44254476.

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

It is a junction number, because it is equal to n+sod(n) for n = 674452395 and 674452404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784731 + ... + 785589.

It is an arithmetic number, because the mean of its divisors is an integer number (17608500).

Almost surely, 2674452440 is an apocalyptic number.

674452440 is a gapful number since it is divisible by the number (60) 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 674452440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126944000).

674452440 is an abundant number, since it is smaller than the sum of its proper divisors (1579435560).

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

674452440 is a wasteful number, since it uses less digits than its factorization.

674452440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 674452440 is about 25970.2221784874. Note that the first 3 decimals coincide. The cubic root of 674452440 is about 876.9680609781.

The spelling of 674452440 in words is "six hundred seventy-four million, four hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 727 859 1080 1454 1718 2181 2577 2908 3436 3635 4295 4362 5154 5816 6543 6872 7270 7731 8590 8724 10308 10905 12885 13086 14540 15462 17180 17448 19629 20616 21810 23193 25770 26172 29080 30924 32715 34360 38655 39258 43620 46386 51540 52344 61848 65430 77310 78516 87240 92772 98145 103080 115965 130860 154620 157032 185544 196290 231930 261720 309240 392580 463860 624493 785160 927720 1248986 1873479 2497972 3122465 3746958 4995944 5620437 6244930 7493916 9367395 11240874 12489860 14987832 16861311 18734790 22481748 24979720 28102185 33722622 37469580 44963496 56204370 67445244 74939160 84306555 112408740 134890488 168613110 224817480 337226220 674452440