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3401334112 = 251119150591
BaseRepresentation
bin1100101010111100…
…0011110101100000
322210001012200020111
43022233003311200
523431220142422
61321302221104
7150200601661
oct31257036540
98701180214
103401334112
111495a67730
127ab124794
134228a2147
14243a37368
1514d91ca77
hexcabc3d60

3401334112 has 48 divisors (see below), whose sum is σ = 7343529984. Its totient is φ = 1537936000.

The previous prime is 3401334103. The next prime is 3401334163. The reversal of 3401334112 is 2114331043.

3401334112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41937 + ... + 92527.

It is an arithmetic number, because the mean of its divisors is an integer number (152990208).

Almost surely, 23401334112 is an apocalyptic number.

3401334112 is a gapful number since it is divisible by the number (32) 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 3401334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671764992).

3401334112 is an abundant number, since it is smaller than the sum of its proper divisors (3942195872).

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

3401334112 is a wasteful number, since it uses less digits than its factorization.

3401334112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50803 (or 50795 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3401334112 is about 58320.9577424788. The cubic root of 3401334112 is about 1503.8912466632.

Adding to 3401334112 its reverse (2114331043), we get a palindrome (5515665155).

The spelling of 3401334112 in words is "three billion, four hundred one million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 191 352 382 764 1528 2101 3056 4202 6112 8404 16808 33616 50591 67232 101182 202364 404728 556501 809456 1113002 1618912 2226004 4452008 8904016 9662881 17808032 19325762 38651524 77303048 106291691 154606096 212583382 309212192 425166764 850333528 1700667056 3401334112