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1344432132 = 2232531734073
BaseRepresentation
bin101000000100010…
…0110100000000100
310110200210020011200
41100020212200010
510223133312012
6341223502500
745213325131
oct12010464004
93420706150
101344432132
1162a99583a
123162b7a30
131856c3c94
14ca7a9588
157d06a3dc
hex50226804

1344432132 has 72 divisors (see below), whose sum is σ = 3483416664. Its totient is φ = 437039616.

The previous prime is 1344432127. The next prime is 1344432137. The reversal of 1344432132 is 2312344431.

1344432132 is a `hidden beast` number, since 1 + 3 + 4 + 443 + 213 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1344432127) and next prime (1344432137).

It can be written as a sum of positive squares in 4 ways, for example, as 333573696 + 1010858436 = 18264^2 + 31794^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1344432096 and 1344432105.

It is not an unprimeable number, because it can be changed into a prime (1344432137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328048 + ... + 332120.

It is an arithmetic number, because the mean of its divisors is an integer number (48380787).

Almost surely, 21344432132 is an apocalyptic number.

1344432132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344432132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741708332).

1344432132 is an abundant number, since it is smaller than the sum of its proper divisors (2138984532).

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

1344432132 is a wasteful number, since it uses less digits than its factorization.

1344432132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4304 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 1344432132 is about 36666.4987693126. The cubic root of 1344432132 is about 1103.6879336148.

Adding to 1344432132 its reverse (2312344431), we get a palindrome (3656776563).

The spelling of 1344432132 in words is "one billion, three hundred forty-four million, four hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 173 212 318 346 477 519 636 692 954 1038 1557 1908 2076 3114 4073 6228 8146 9169 12219 16292 18338 24438 27507 36657 36676 48876 55014 73314 82521 110028 146628 165042 215869 330084 431738 647607 704629 863476 1295214 1409258 1942821 2113887 2590428 2818516 3885642 4227774 6341661 7771284 8455548 12683322 25366644 37345337 74690674 112036011 149381348 224072022 336108033 448144044 672216066 1344432132