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457285340 = 22529231877
BaseRepresentation
bin11011010000011…
…001111011011100
31011212110111120002
4123100121323130
51414031112330
6113213113432
714221601261
oct3320317334
91155414502
10457285340
11215142276
12109188878
137397aa55
1444a37268
152a22be45
hex1b419edc

457285340 has 72 divisors (see below), whose sum is σ = 1027807872. Its totient is φ = 170714880.

The previous prime is 457285337. The next prime is 457285343. The reversal of 457285340 is 43582754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (457285337) and next prime (457285343).

It is a junction number, because it is equal to n+sod(n) for n = 457285294 and 457285303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457285343) 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, 520982 + ... + 521858.

Almost surely, 2457285340 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 457285340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513903936).

457285340 is an abundant number, since it is smaller than the sum of its proper divisors (570522532).

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

457285340 is a wasteful number, since it uses less digits than its factorization.

457285340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The square root of 457285340 is about 21384.2311061212. The cubic root of 457285340 is about 770.4227397015.

The spelling of 457285340 in words is "four hundred fifty-seven million, two hundred eighty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 841 877 899 1682 1754 1798 3364 3508 3596 4205 4385 4495 8410 8770 8990 16820 17540 17980 25433 26071 27187 50866 52142 54374 101732 104284 108748 127165 130355 135935 254330 260710 271870 508660 521420 543740 737557 788423 1475114 1576846 2950228 3153692 3687785 3942115 7375570 7884230 14751140 15768460 22864267 45728534 91457068 114321335 228642670 457285340