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1307944 = 231189167
BaseRepresentation
bin100111111010100101000
32110110011101
410333110220
5313323234
644011144
714055151
oct4772450
92413141
101307944
11813750
12530ab4
1336a441
14260928
151ac814
hex13f528

1307944 has 32 divisors (see below), whose sum is σ = 2721600. Its totient is φ = 584320.

The previous prime is 1307927. The next prime is 1307951. The reversal of 1307944 is 4497031.

1307944 = T32 + T33 + ... + T198.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7749 + ... + 7915.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

21307944 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 1307944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800).

1307944 is an abundant number, since it is smaller than the sum of its proper divisors (1413656).

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

1307944 is a wasteful number, since it uses less digits than its factorization.

1307944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1307944 is about 1143.6537937680. The cubic root of 1307944 is about 109.3611453471.

Subtracting from 1307944 its product of nonzero digits (3024), we obtain a triangular number (1304920 = T1615).

The spelling of 1307944 in words is "one million, three hundred seven thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 89 167 178 334 356 668 712 979 1336 1837 1958 3674 3916 7348 7832 14696 14863 29726 59452 118904 163493 326986 653972 1307944