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285344460 = 223253151137
BaseRepresentation
bin10001000000100…
…000001011001100
3201212221000000100
4101000200023030
51041022010320
644151531100
710033250022
oct2100401314
9655830010
10285344460
11137084575
127b689a90
134716919b
1429c7a712
151a0b6790
hex110202cc

285344460 has 72 divisors (see below), whose sum is σ = 893483136. Its totient is φ = 73635840.

The previous prime is 285344443. The next prime is 285344467. The reversal of 285344460 is 64443582.

285344460 is a `hidden beast` number, since 28 + 534 + 44 + 60 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (285344467) 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, 19989 + ... + 31148.

It is an arithmetic number, because the mean of its divisors is an integer number (12409488).

Almost surely, 2285344460 is an apocalyptic number.

285344460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285344460 is an abundant number, since it is smaller than the sum of its proper divisors (608138676).

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

285344460 is a wasteful number, since it uses less digits than its factorization.

285344460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51183 (or 51178 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 285344460 is about 16892.1419600949. The cubic root of 285344460 is about 658.3494569926.

The spelling of 285344460 in words is "two hundred eighty-five million, three hundred forty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 51137 102274 153411 204548 255685 306822 460233 511370 613644 767055 920466 1022740 1534110 1585247 1840932 2301165 3068220 3170494 4602330 4755741 6340988 7926235 9204660 9511482 14267223 15852470 19022964 23778705 28534446 31704940 47557410 57068892 71336115 95114820 142672230 285344460