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132400314 = 2327355573
BaseRepresentation
bin1111110010001…
…00010010111010
3100020010122002100
413321010102322
5232343302224
621045444230
73165245514
oct771042272
9306118070
10132400314
1168811352
1238410676
13215791a7
1413826bb4
15b954ac9
hex7e444ba

132400314 has 12 divisors (see below), whose sum is σ = 286867386. Its totient is φ = 44133432.

The previous prime is 132400309. The next prime is 132400327. The reversal of 132400314 is 413004231.

It can be written as a sum of positive squares in only one way, i.e., 125821089 + 6579225 = 11217^2 + 2565^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7355573 = 132400314 / (1 + 3 + 2 + 4 + 0 + 0 + 3 + 1 + 4).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3677769 + ... + 3677804.

Almost surely, 2132400314 is an apocalyptic number.

132400314 is an abundant number, since it is smaller than the sum of its proper divisors (154467072).

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

132400314 is a wasteful number, since it uses less digits than its factorization.

132400314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7355581 (or 7355578 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132400314 is about 11506.5335353442. The cubic root of 132400314 is about 509.6785286648.

Adding to 132400314 its reverse (413004231), we get a palindrome (545404545).

The spelling of 132400314 in words is "one hundred thirty-two million, four hundred thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 7355573 14711146 22066719 44133438 66200157 132400314