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3133034244 = 2232175119337
BaseRepresentation
bin1011101010111110…
…0100111100000100
322002100100122000100
42322233210330010
522404024043434
61234515444100
7140432231424
oct27257447404
98070318010
103133034244
111368574aaa
127352b6630
133ac123122
1421a156484
151350c1699
hexbabe4f04

3133034244 has 36 divisors (see below), whose sum is σ = 8385475644. Its totient is φ = 982912512.

The previous prime is 3133034243. The next prime is 3133034297. The reversal of 3133034244 is 4424303313.

3133034244 is a `hidden beast` number, since 313 + 3 + 0 + 342 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1555355844 + 1577678400 = 39438^2 + 39720^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (3133034243) 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 11 ways as a sum of consecutive naturals, for example, 2559057 + ... + 2560280.

It is an arithmetic number, because the mean of its divisors is an integer number (232929879).

Almost surely, 23133034244 is an apocalyptic number.

3133034244 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3133034244 is an abundant number, since it is smaller than the sum of its proper divisors (5252441400).

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

3133034244 is a wasteful number, since it uses less digits than its factorization.

3133034244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119364 (or 5119359 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3133034244 is about 55973.5137721405. The cubic root of 3133034244 is about 1463.2607180732.

Adding to 3133034244 its reverse (4424303313), we get a palindrome (7557337557).

The spelling of 3133034244 in words is "three billion, one hundred thirty-three million, thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 5119337 10238674 15358011 20477348 30716022 46074033 61432044 87028729 92148066 174057458 184296132 261086187 348114916 522172374 783258561 1044344748 1566517122 3133034244