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1348228431 = 321113618469
BaseRepresentation
bin101000001011100…
…0101010101001111
310110221221002201100
41100113011111033
510230121302211
6341441114143
745260516064
oct12027052517
93427832640
101348228431
11632048a80
12317628953
13186422c04
14cb0b6c6b
157d56a156
hex505c554f

1348228431 has 12 divisors (see below), whose sum is σ = 2124481320. Its totient is φ = 817108080.

The previous prime is 1348228423. The next prime is 1348228439.

It is a happy number.

1348228431 is a `hidden beast` number, since 1 + 348 + 2 + 284 + 31 = 666.

1348228431 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1348228423) and next prime (1348228439).

It is not a de Polignac number, because 1348228431 - 23 = 1348228423 is a prime.

It is a super-2 number, since 2×13482284312 = 3635439804313443522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348228439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6809136 + ... + 6809333.

It is an arithmetic number, because the mean of its divisors is an integer number (177040110).

Almost surely, 21348228431 is an apocalyptic number.

1348228431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1348228431 is a deficient number, since it is larger than the sum of its proper divisors (776252889).

1348228431 is a wasteful number, since it uses less digits than its factorization.

1348228431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13618486 (or 13618483 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 1348228431 is about 36718.2302269595. The cubic root of 1348228431 is about 1104.7257923374.

The spelling of 1348228431 in words is "one billion, three hundred forty-eight million, two hundred twenty-eight thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 13618469 40855407 122566221 149803159 449409477 1348228431