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104184340 = 22513616569
BaseRepresentation
bin1100011010110…
…11101000010100
321021001010001021
412031123220110
5203132344330
614201010524
72403360301
oct615335024
9237033037
10104184340
115389a267
122aa83a44
131877a250
14dba00a8
15922e67a
hex635ba14

104184340 has 48 divisors (see below), whose sum is σ = 239515920. Its totient is φ = 37831680.

The previous prime is 104184329. The next prime is 104184343. The reversal of 104184340 is 43481401.

It can be written as a sum of positive squares in 8 ways, for example, as 11370384 + 92813956 = 3372^2 + 9634^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104184343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12576 + ... + 19144.

It is an arithmetic number, because the mean of its divisors is an integer number (4989915).

Almost surely, 2104184340 is an apocalyptic number.

104184340 is a gapful number since it is divisible by the number (10) 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 104184340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119757960).

104184340 is an abundant number, since it is smaller than the sum of its proper divisors (135331580).

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

104184340 is a wasteful number, since it uses less digits than its factorization.

104184340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652 (or 6650 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 104184340 is about 10207.0730378498. The cubic root of 104184340 is about 470.5446229252.

The spelling of 104184340 in words is "one hundred four million, one hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1586 3172 3965 6569 7930 13138 15860 26276 32845 65690 85397 131380 170794 341588 400709 426985 801418 853970 1602836 1707940 2003545 4007090 5209217 8014180 10418434 20836868 26046085 52092170 104184340