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3354127056 = 24357251491
BaseRepresentation
bin1100011111101011…
…1110101011010000
322122202101022100000
43013322332223100
523332124031211
61312454330000
7146055416040
oct30772765320
98582338300
103354127056
111471354335
12797359900
13415b84087
1423b669720
151496e5656
hexc7ebead0

3354127056 has 240 divisors, whose sum is σ = 11192283648. Its totient is φ = 952560000.

The previous prime is 3354127043. The next prime is 3354127067. The reversal of 3354127056 is 6507214533.

3354127056 is a `hidden beast` number, since 335 + 4 + 1 + 270 + 56 = 666.

It is a super-2 number, since 2×33541270562 = 22500336615582454272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3354127056.

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 47 ways as a sum of consecutive naturals, for example, 6830971 + ... + 6831461.

Almost surely, 23354127056 is an apocalyptic number.

3354127056 is a gapful number since it is divisible by the number (36) 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 3354127056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596141824).

3354127056 is an abundant number, since it is smaller than the sum of its proper divisors (7838156592).

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

3354127056 is a wasteful number, since it uses less digits than its factorization.

3354127056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3354127056 is about 57914.8258738641. The cubic root of 3354127056 is about 1496.9013151761.

The spelling of 3354127056 in words is "three billion, three hundred fifty-four million, one hundred twenty-seven thousand, fifty-six".