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1344142431 = 34293891471
BaseRepresentation
bin101000000011101…
…1111110001011111
310110200020111210000
41100013133301133
510223100024211
6341213345343
745211010412
oct12007376137
93420214700
101344142431
1162a808115
12316198253
13185622168
14ca731b79
157d00e656
hex501dfc5f

1344142431 has 40 divisors (see below), whose sum is σ = 2083910400. Its totient is φ = 862384320.

The previous prime is 1344142411. The next prime is 1344142433. The reversal of 1344142431 is 1342414431.

1344142431 is a `hidden beast` number, since 1 + 3 + 4 + 414 + 243 + 1 = 666.

It is not a de Polignac number, because 1344142431 - 26 = 1344142367 is a prime.

It is a super-2 number, since 2×13441424312 = 3613437749629179522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1344142395 and 1344142404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344142433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 913026 + ... + 914496.

It is an arithmetic number, because the mean of its divisors is an integer number (52097760).

Almost surely, 21344142431 is an apocalyptic number.

1344142431 is a deficient number, since it is larger than the sum of its proper divisors (739767969).

1344142431 is a wasteful number, since it uses less digits than its factorization.

1344142431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1892 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1344142431 is about 36662.5480702037. The cubic root of 1344142431 is about 1103.6086529383.

Adding to 1344142431 its reverse (1342414431), we get a palindrome (2686556862).

Subtracting from 1344142431 its reverse (1342414431), we obtain a cube (1728000 = 1203).

The spelling of 1344142431 in words is "one billion, three hundred forty-four million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 27 29 81 87 261 389 783 1167 1471 2349 3501 4413 10503 11281 13239 31509 33843 39717 42659 101529 119151 127977 304587 383931 572219 913761 1151793 1716657 3455379 5149971 15449913 16594351 46349739 49783053 149349159 448047477 1344142431