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132411344 = 24133371889
BaseRepresentation
bin1111110010001…
…10111111010000
3100020011012012212
413321012333100
5232344130334
621050011252
73165322622
oct771067720
9306135185
10132411344
116881966a
1238416b28
1321581210
141382ac12
15b957ece
hex7e46fd0

132411344 has 40 divisors (see below), whose sum is σ = 277247880. Its totient is φ = 60899328.

The previous prime is 132411329. The next prime is 132411353. The reversal of 132411344 is 443114231.

It can be written as a sum of positive squares in 4 ways, for example, as 620944 + 131790400 = 788^2 + 11480^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69152 + ... + 71040.

It is an arithmetic number, because the mean of its divisors is an integer number (6931197).

Almost surely, 2132411344 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 132411344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138623940).

132411344 is an abundant number, since it is smaller than the sum of its proper divisors (144836536).

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

132411344 is a wasteful number, since it uses less digits than its factorization.

132411344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2241 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 132411344 is about 11507.0128182774. The cubic root of 132411344 is about 509.6926816979.

Adding to 132411344 its reverse (443114231), we get a palindrome (575525575).

The spelling of 132411344 in words is "one hundred thirty-two million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 337 674 1348 1889 2696 3778 4381 5392 7556 8762 15112 17524 24557 30224 35048 49114 70096 98228 196456 392912 636593 1273186 2546372 5092744 8275709 10185488 16551418 33102836 66205672 132411344