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3134941056 = 2735137753
BaseRepresentation
bin1011101011011011…
…0110011110000000
322002110221111200000
42322312312132000
522410021103211
61235024400000
7140454362562
oct27266663600
98073844600
103134941056
111369657685
12735a76000
133ac640010
1421a4d1332
1513534b656
hexbadb6780

3134941056 has 192 divisors, whose sum is σ = 10076167920. Its totient is φ = 964472832.

The previous prime is 3134941039. The next prime is 3134941067. The reversal of 3134941056 is 6501494313.

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

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 3134941056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400476 + ... + 408228.

Almost surely, 23134941056 is an apocalyptic number.

3134941056 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 3134941056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038083960).

3134941056 is an abundant number, since it is smaller than the sum of its proper divisors (6941226864).

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

3134941056 is an equidigital number, since it uses as much as digits as its factorization.

3134941056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7795 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3134941056 is about 55990.5443445588. The cubic root of 3134941056 is about 1463.5575120675.

The spelling of 3134941056 in words is "three billion, one hundred thirty-four million, nine hundred forty-one thousand, fifty-six".