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34032949720 = 23571119718191
BaseRepresentation
bin11111101100100001…
…011001100111011000
310020211210222222100021
4133230201121213120
51024144413342340
623345020120224
72313240204520
oct375441314730
9106753888307
1034032949720
1113484792930
126719696074
133294a82293
14190bcd8680
15d42c0be4a
hex7ec8599d8

34032949720 has 256 divisors, whose sum is σ = 101921587200. Its totient is φ = 9906624000.

The previous prime is 34032949637. The next prime is 34032949801. The reversal of 34032949720 is 2794923043.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4150825 + ... + 4159015.

It is an arithmetic number, because the mean of its divisors is an integer number (398131200).

Almost surely, 234032949720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34032949720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50960793600).

34032949720 is an abundant number, since it is smaller than the sum of its proper divisors (67888637480).

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

34032949720 is a wasteful number, since it uses less digits than its factorization.

34032949720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310 (or 8306 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The spelling of 34032949720 in words is "thirty-four billion, thirty-two million, nine hundred forty-nine thousand, seven hundred twenty".