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34025060244 = 223717471094651
BaseRepresentation
bin11111101100000011…
…010011011110010100
310020211021011011000110
4133230003103132110
51024140403411434
623344135043020
72313113145240
oct375403233624
9106737134013
1034025060244
11134802943aa
126716b10470
13329324c256
14190ac43420
15d4219e4e9
hex7ec0d3794

34025060244 has 192 divisors, whose sum is σ = 99036241920. Its totient is φ = 8870860800.

The previous prime is 34025060239. The next prime is 34025060287. The reversal of 34025060244 is 44206052043.

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, 7313319 + ... + 7317969.

It is an arithmetic number, because the mean of its divisors is an integer number (515813760).

Almost surely, 234025060244 is an apocalyptic number.

34025060244 is a gapful number since it is divisible by the number (34) 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 34025060244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49518120960).

34025060244 is an abundant number, since it is smaller than the sum of its proper divisors (65011181676).

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

34025060244 is a wasteful number, since it uses less digits than its factorization.

34025060244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 34025060244 in words is "thirty-four billion, twenty-five million, sixty thousand, two hundred forty-four".