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3407144 = 23131812
BaseRepresentation
bin1100111111110100101000
320102002201112
430333310220
51333012034
6201005452
740650236
oct14776450
96362645
103407144
111a17924
121183888
13923a80
14649956
154747ce
hex33fd28

3407144 has 24 divisors (see below), whose sum is σ = 6918030. Its totient is φ = 1563840.

The previous prime is 3407143. The next prime is 3407147. The reversal of 3407144 is 4417043.

It can be written as a sum of positive squares in 3 ways, for example, as 302500 + 3104644 = 550^2 + 1762^2 .

It is not an unprimeable number, because it can be changed into a prime (3407143) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 18734 + ... + 18914.

Almost surely, 23407144 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 3407144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459015).

3407144 is an abundant number, since it is smaller than the sum of its proper divisors (3510886).

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

3407144 is a wasteful number, since it uses less digits than its factorization.

3407144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 3407144 is about 1845.8450639206. The cubic root of 3407144 is about 150.4747035330.

The spelling of 3407144 in words is "three million, four hundred seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 181 362 724 1448 2353 4706 9412 18824 32761 65522 131044 262088 425893 851786 1703572 3407144