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285340104 = 23337172653
BaseRepresentation
bin10001000000011…
…111000111001000
3201212220210001000
4101000133013020
51041021340404
644151455000
710033231230
oct2100370710
9655823030
10285340104
11137081275
127b687460
13471671ca
1429c78cc0
151a0b5339
hex1101f1c8

285340104 has 192 divisors, whose sum is σ = 963734400. Its totient is φ = 76612608.

The previous prime is 285340103. The next prime is 285340109. The reversal of 285340104 is 401043582.

285340104 is a `hidden beast` number, since 28 + 534 + 0 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (285340103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436642 + ... + 437294.

It is an arithmetic number, because the mean of its divisors is an integer number (5019450).

Almost surely, 2285340104 is an apocalyptic number.

285340104 is a gapful number since it is divisible by the number (24) 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 285340104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481867200).

285340104 is an abundant number, since it is smaller than the sum of its proper divisors (678394296).

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

285340104 is a wasteful number, since it uses less digits than its factorization.

285340104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 285340104 is about 16892.0130239116. The cubic root of 285340104 is about 658.3461069073.

Adding to 285340104 its reverse (401043582), we get a palindrome (686383686).

The spelling of 285340104 in words is "two hundred eighty-five million, three hundred forty thousand, one hundred four".