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285348440 = 235133714831
BaseRepresentation
bin10001000000100…
…001001001011000
3201212221012110202
4101000201021120
51041022122230
644152001332
710033264436
oct2100411130
9655835422
10285348440
11137087563
127b690248
134716ac40
1429c7bd56
151a0b7a45
hex11021258

285348440 has 64 divisors (see below), whose sum is σ = 710156160. Its totient is φ = 102504960.

The previous prime is 285348433. The next prime is 285348457. The reversal of 285348440 is 44843582.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 285348394 and 285348403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11825 + ... + 26655.

It is an arithmetic number, because the mean of its divisors is an integer number (11096190).

Almost surely, 2285348440 is an apocalyptic number.

285348440 is a gapful number since it is divisible by the number (20) 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 285348440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355078080).

285348440 is an abundant number, since it is smaller than the sum of its proper divisors (424807720).

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

285348440 is a wasteful number, since it uses less digits than its factorization.

285348440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14892 (or 14888 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The square root of 285348440 is about 16892.2597659401. The cubic root of 285348440 is about 658.3525178764.

The spelling of 285348440 in words is "two hundred eighty-five million, three hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2405 3848 4810 9620 14831 19240 29662 59324 74155 118648 148310 192803 296620 385606 548747 593240 771212 964015 1097494 1542424 1928030 2194988 2743735 3856060 4389976 5487470 7133711 7712120 10974940 14267422 21949880 28534844 35668555 57069688 71337110 142674220 285348440