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3474413568 = 21133193307
BaseRepresentation
bin1100111100010111…
…0101100000000000
322222010201111102000
43033011311200000
524103422213233
61332432424000
7152046012423
oct31705654000
98863644360
103474413568
11152324137a
1280b6a8000
13434a7b522
1424d61b9ba
15155055d13
hexcf175800

3474413568 has 192 divisors, whose sum is σ = 10837008000. Its totient is φ = 1096851456.

The previous prime is 3474413563. The next prime is 3474413581. The reversal of 3474413568 is 8653144743.

3474413568 is a `hidden beast` number, since 3 + 4 + 74 + 4 + 13 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3474413561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048971 + ... + 1052277.

It is an arithmetic number, because the mean of its divisors is an integer number (56442750).

Almost surely, 23474413568 is an apocalyptic number.

3474413568 is a gapful number since it is divisible by the number (38) 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 3474413568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418504000).

3474413568 is an abundant number, since it is smaller than the sum of its proper divisors (7362594432).

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

3474413568 is a wasteful number, since it uses less digits than its factorization.

3474413568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3331 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 3474413568 is about 58944.1563515842. The cubic root of 3474413568 is about 1514.5856488658.

The spelling of 3474413568 in words is "three billion, four hundred seventy-four million, four hundred thirteen thousand, five hundred sixty-eight".