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3331744416 = 25327211132127
BaseRepresentation
bin1100011010010110…
…0110001010100000
322121012021011010100
43012211212022200
523310411310131
61310334502400
7145364234400
oct30645461240
98535234110
103331744416
11145a756990
1278b964a00
13411348300
142386c0800
151477737e6
hexc69662a0

3331744416 has 648 divisors, whose sum is σ = 13122031104. Its totient is φ = 792529920.

The previous prime is 3331744397. The next prime is 3331744441. The reversal of 3331744416 is 6144471333.

It is a super-2 number, since 2×33317444162 = 22201041707094362112, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 107 ways as a sum of consecutive naturals, for example, 26234145 + ... + 26234271.

It is an arithmetic number, because the mean of its divisors is an integer number (20250048).

Almost surely, 23331744416 is an apocalyptic number.

3331744416 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 3331744416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6561015552).

3331744416 is an abundant number, since it is smaller than the sum of its proper divisors (9790286688).

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

3331744416 is a wasteful number, since it uses less digits than its factorization.

3331744416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 163 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 3331744416 is about 57721.2648510062. The cubic root of 3331744416 is about 1493.5641917397.

It can be divided in two parts, 3331 and 744416, that added together give a palindrome (747747).

The spelling of 3331744416 in words is "three billion, three hundred thirty-one million, seven hundred forty-four thousand, four hundred sixteen".