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457046340 = 2235232271459
BaseRepresentation
bin11011001111011…
…111100101000100
31011212000100201020
4123033133211010
51414000440330
6113204031140
714216554422
oct3317374504
91155010636
10457046340
11214a99753
121090924b0
13738c602a
14449b4112
152a1d1210
hex1b3df944

457046340 has 96 divisors (see below), whose sum is σ = 1342172160. Its totient is φ = 115986816.

The previous prime is 457046323. The next prime is 457046341. The reversal of 457046340 is 43640754.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (457046341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312531 + ... + 313989.

It is an arithmetic number, because the mean of its divisors is an integer number (13980960).

Almost surely, 2457046340 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 457046340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671086080).

457046340 is an abundant number, since it is smaller than the sum of its proper divisors (885125820).

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

457046340 is a wasteful number, since it uses less digits than its factorization.

457046340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 457046340 is about 21378.6421458427. The cubic root of 457046340 is about 770.2884959324.

The spelling of 457046340 in words is "four hundred fifty-seven million, forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 227 230 276 345 454 460 681 690 908 1135 1362 1380 1459 2270 2724 2918 3405 4377 4540 5221 5836 6810 7295 8754 10442 13620 14590 15663 17508 20884 21885 26105 29180 31326 33557 43770 52210 62652 67114 78315 87540 100671 104420 134228 156630 167785 201342 313260 331193 335570 402684 503355 662386 671140 993579 1006710 1324772 1655965 1987158 2013420 3311930 3974316 4967895 6623860 7617439 9935790 15234878 19871580 22852317 30469756 38087195 45704634 76174390 91409268 114261585 152348780 228523170 457046340