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3334442144 = 25119472847
BaseRepresentation
bin1100011010111111…
…1000110010100000
322121101100012201012
43012233320302200
523312104122034
61310512400052
7145426201445
oct30657706240
98541305635
103334442144
111461229810
12790846028
13411a811b7
14238bc39cc
15147b07cce
hexc6bf8ca0

3334442144 has 24 divisors (see below), whose sum is σ = 7161473088. Its totient is φ = 1515655360.

The previous prime is 3334442141. The next prime is 3334442147. The reversal of 3334442144 is 4412444333.

3334442144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3334442141) and next prime (3334442147).

It is a super-2 number, since 2×33344421442 = 22237008823366633472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3334442144.

It is not an unprimeable number, because it can be changed into a prime (3334442141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4736072 + ... + 4736775.

It is an arithmetic number, because the mean of its divisors is an integer number (298394712).

Almost surely, 23334442144 is an apocalyptic number.

It is an amenable number.

3334442144 is an abundant number, since it is smaller than the sum of its proper divisors (3827030944).

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

3334442144 is a wasteful number, since it uses less digits than its factorization.

3334442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9472868 (or 9472860 counting only the distinct ones).

The product of its digits is 55296, while the sum is 32.

The square root of 3334442144 is about 57744.6287025902. The cubic root of 3334442144 is about 1493.9671981362.

Adding to 3334442144 its reverse (4412444333), we get a palindrome (7746886477).

The spelling of 3334442144 in words is "three billion, three hundred thirty-four million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 9472847 18945694 37891388 75782776 104201317 151565552 208402634 303131104 416805268 833610536 1667221072 3334442144