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3134602944 = 2632113115959
BaseRepresentation
bin1011101011010110…
…0011111011000000
322002110022022212100
42322311203323000
522404424243234
61235013230400
7140451454044
oct27265437300
98073268770
103134602944
111369446650
12735932400
133ac552155
1421a444024
151352d1399
hexbad63ec0

3134602944 has 168 divisors, whose sum is σ = 10118384640. Its totient is φ = 919180800.

The previous prime is 3134602943. The next prime is 3134602967. The reversal of 3134602944 is 4492064313.

It is a happy number.

3134602944 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 602 + 9 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3134602899 and 3134602908.

It is not an unprimeable number, because it can be changed into a prime (3134602943) by changing a digit.

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, 188437 + ... + 204395.

It is an arithmetic number, because the mean of its divisors is an integer number (60228480).

Almost surely, 23134602944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134602944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059192320).

3134602944 is an abundant number, since it is smaller than the sum of its proper divisors (6983781696).

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

3134602944 is a wasteful number, since it uses less digits than its factorization.

3134602944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16019 (or 16006 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3134602944 is about 55987.5248961766. The cubic root of 3134602944 is about 1463.5048939438.

The spelling of 3134602944 in words is "three billion, one hundred thirty-four million, six hundred two thousand, nine hundred forty-four".