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1834823136 = 25319112741
BaseRepresentation
bin110110101011101…
…0010110111100000
311201212112200011110
41231113102313200
512224203320021
6502022343320
763316511406
oct15527226740
94655480143
101834823136
11861789863
1243258ab40
13233193483
1413597d476
15ab136476
hex6d5d2de0

1834823136 has 24 divisors (see below), whose sum is σ = 4816410984. Its totient is φ = 611607680.

The previous prime is 1834823129. The next prime is 1834823143. The reversal of 1834823136 is 6313284381.

It is an interprime number because it is at equal distance from previous prime (1834823129) and next prime (1834823143).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1834823094 and 1834823103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9556275 + ... + 9556466.

It is an arithmetic number, because the mean of its divisors is an integer number (200683791).

Almost surely, 21834823136 is an apocalyptic number.

1834823136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1834823136 is an abundant number, since it is smaller than the sum of its proper divisors (2981587848).

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

1834823136 is a wasteful number, since it uses less digits than its factorization.

1834823136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19112754 (or 19112746 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 1834823136 is about 42834.8355430484. The cubic root of 1834823136 is about 1224.2348432297.

It can be divided in two parts, 1834 and 823136, that added together give a triangular number (824970 = T1284).

The spelling of 1834823136 in words is "one billion, eight hundred thirty-four million, eight hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 19112741 38225482 57338223 76450964 114676446 152901928 229352892 305803856 458705784 611607712 917411568 1834823136