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34382741460 = 22351093524287
BaseRepresentation
bin100000000001010111…
…101111111111010100
310021202012012020101220
4200001113233333110
51030403440211320
623443433250340
72325015323514
oct400127577724
9107665166356
1034382741460
1113644185611
1267b68639b0
13331c394742
14194254d844
15d637a3e40
hex8015effd4

34382741460 has 48 divisors (see below), whose sum is σ = 96359940096. Its totient is φ = 9160324992.

The previous prime is 34382741447. The next prime is 34382741461. The reversal of 34382741460 is 6414728343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34382741461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196564 + ... + 327723.

It is an arithmetic number, because the mean of its divisors is an integer number (2007498752).

Almost surely, 234382741460 is an apocalyptic number.

34382741460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34382741460 is an abundant number, since it is smaller than the sum of its proper divisors (61977198636).

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

34382741460 is a wasteful number, since it uses less digits than its factorization.

34382741460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525392 (or 525390 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 34382741460 in words is "thirty-four billion, three hundred eighty-two million, seven hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1093 2186 3279 4372 5465 6558 10930 13116 16395 21860 32790 65580 524287 1048574 1572861 2097148 2621435 3145722 5242870 6291444 7864305 10485740 15728610 31457220 573045691 1146091382 1719137073 2292182764 2865228455 3438274146 5730456910 6876548292 8595685365 11460913820 17191370730 34382741460