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3334341024 = 2536722917
BaseRepresentation
bin1100011010111110…
…0000000110100000
322121101011002000000
43012233200012200
523312042403044
61310510300000
7145425300600
oct30657400640
98541132000
103334341024
11146116a843
127907b7600
13411a47171
14238b98c00
15147ad7d69
hexc6be01a0

3334341024 has 252 divisors, whose sum is σ = 11453042034. Its totient is φ = 952342272.

The previous prime is 3334341013. The next prime is 3334341047. The reversal of 3334341024 is 4201434333.

It can be written as a sum of positive squares in only one way, i.e., 1728896400 + 1605444624 = 41580^2 + 40068^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×33343410242 = 22235660128658737152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 1141614 + ... + 1144530.

Almost surely, 23334341024 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 3334341024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726521017).

3334341024 is an abundant number, since it is smaller than the sum of its proper divisors (8118701010).

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

3334341024 is an equidigital number, since it uses as much as digits as its factorization.

3334341024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2929 counting only the distinct ones).

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

The square root of 3334341024 is about 57743.7531166792. The cubic root of 3334341024 is about 1493.9520960108.

Adding to 3334341024 its reverse (4201434333), we get a palindrome (7535775357).

The spelling of 3334341024 in words is "three billion, three hundred thirty-four million, three hundred forty-one thousand, twenty-four".