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1834108128 = 25326368431
BaseRepresentation
bin110110101010010…
…0100010011100000
311201211012100100200
41231110210103200
512224012430003
6501555145200
763310443006
oct15524442340
94654170320
101834108128
11861340646
124322a5200
13232ca2ba8
14135834a76
15ab0446a3
hex6d5244e0

1834108128 has 36 divisors (see below), whose sum is σ = 5215745808. Its totient is φ = 611369280.

The previous prime is 1834108127. The next prime is 1834108151. The reversal of 1834108128 is 8218014381.

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1834108092 and 1834108101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1834108123) 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 5 ways as a sum of consecutive naturals, for example, 3183928 + ... + 3184503.

It is an arithmetic number, because the mean of its divisors is an integer number (144881828).

Almost surely, 21834108128 is an apocalyptic number.

1834108128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1834108128 is an abundant number, since it is smaller than the sum of its proper divisors (3381637680).

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

1834108128 is a wasteful number, since it uses less digits than its factorization.

1834108128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368447 (or 6368436 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1834108128 is about 42826.4886256158. The cubic root of 1834108128 is about 1224.0757994837.

The spelling of 1834108128 in words is "one billion, eight hundred thirty-four million, one hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6368431 12736862 19105293 25473724 38210586 50947448 57315879 76421172 101894896 114631758 152842344 203789792 229263516 305684688 458527032 611369376 917054064 1834108128