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34242643620 = 2233563412303
BaseRepresentation
bin11111111001000001…
…010100011010100100
310021101102120112022000
4133321001110122210
51030112104043440
623421510405300
72321364445143
oct377101243244
9107342515260
1034242643620
1113582096a79
126777960830
1332c9351a03
14192bac175a
15d5632d730
hex7f90546a4

34242643620 has 48 divisors (see below), whose sum is σ = 106532670720. Its totient is φ = 9131371488.

The previous prime is 34242643597. The next prime is 34242643627. The reversal of 34242643620 is 2634624243.

34242643620 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 2 + 643 + 6 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34242643627) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31705612 + ... + 31706691.

It is an arithmetic number, because the mean of its divisors is an integer number (2219430640).

Almost surely, 234242643620 is an apocalyptic number.

34242643620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34242643620 is an abundant number, since it is smaller than the sum of its proper divisors (72290027100).

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

34242643620 is a wasteful number, since it uses less digits than its factorization.

34242643620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63412321 (or 63412313 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 34242643620 in words is "thirty-four billion, two hundred forty-two million, six hundred forty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 63412303 126824606 190236909 253649212 317061515 380473818 570710727 634123030 760947636 951184545 1141421454 1268246060 1712132181 1902369090 2282842908 2853553635 3424264362 3804738180 5707107270 6848528724 8560660905 11414214540 17121321810 34242643620