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34342603020 = 223351137156259
BaseRepresentation
bin11111111110111110…
…101000100100001100
310021122101122222211000
4133332332220210030
51030313201244040
623435441100300
72324020211025
oct377676504414
9107571588730
1034342603020
111362355aa50
1267a5327690
133313c7cb9b
14193b0a1c4c
15d5eec6130
hex7fefa890c

34342603020 has 192 divisors, whose sum is σ = 119707660800. Its totient is φ = 8100414720.

The previous prime is 34342603013. The next prime is 34342603021. The reversal of 34342603020 is 2030624343.

It is a happy number.

34342603020 is a `hidden beast` number, since 3 + 4 + 34 + 2 + 603 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34342603021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141651 + ... + 297909.

It is an arithmetic number, because the mean of its divisors is an integer number (623477400).

Almost surely, 234342603020 is an apocalyptic number.

34342603020 is a gapful number since it is divisible by the number (30) 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 34342603020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59853830400).

34342603020 is an abundant number, since it is smaller than the sum of its proper divisors (85365057780).

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

34342603020 is a wasteful number, since it uses less digits than its factorization.

34342603020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156325 (or 156317 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The spelling of 34342603020 in words is "thirty-four billion, three hundred forty-two million, six hundred three thousand, twenty".