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34371612032 = 27893017171
BaseRepresentation
bin100000000000101101…
…010010110110000000
310021201102020210200212
4200000231102312000
51030343113041112
623442354533252
72324521611302
oct400055226600
9107642223625
1034371612032
111363897393a
1267b2b97228
133319c98a94
141940c93972
15d62806522
hex800b52d80

34371612032 has 32 divisors (see below), whose sum is σ = 69244097400. Its totient is φ = 16992701440.

The previous prime is 34371612031. The next prime is 34371612043. The reversal of 34371612032 is 23021617343.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 34371612032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34371612031) 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 3 ways as a sum of consecutive naturals, for example, 1497194 + ... + 1519977.

Almost surely, 234371612032 is an apocalyptic number.

34371612032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34371612032 is an abundant number, since it is smaller than the sum of its proper divisors (34872485368).

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

34371612032 is an equidigital number, since it uses as much as digits as its factorization.

34371612032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017274 (or 3017262 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 34371612032 in words is "thirty-four billion, three hundred seventy-one million, six hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2848 5696 11392 3017171 6034342 12068684 24137368 48274736 96549472 193098944 268528219 386197888 537056438 1074112876 2148225752 4296451504 8592903008 17185806016 34371612032