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1344431424 = 26372142903
BaseRepresentation
bin101000000100010…
…0110010101000000
310110200210012012110
41100020212111000
510223133301144
6341223455320
745213323100
oct12010462500
93420705173
101344431424
1162a995256
123162b7540
131856c386b
14ca7a9200
157d06a0b9
hex50226540

1344431424 has 84 divisors (see below), whose sum is σ = 4137928224. Its totient is φ = 384120576.

The previous prime is 1344431327. The next prime is 1344431441. The reversal of 1344431424 is 4241344431.

It is a tau number, because it is divible by the number of its divisors (84).

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 = 1344431391 and 1344431400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62044 + ... + 80859.

Almost surely, 21344431424 is an apocalyptic number.

1344431424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1344431424 is an abundant number, since it is smaller than the sum of its proper divisors (2793496800).

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

1344431424 is a wasteful number, since it uses less digits than its factorization.

1344431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142932 (or 142915 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 1344431424 is about 36666.4891147216. The cubic root of 1344431424 is about 1103.6877398747.

Adding to 1344431424 its reverse (4241344431), we get a palindrome (5585775855).

The spelling of 1344431424 in words is "one billion, three hundred forty-four million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 142903 285806 428709 571612 857418 1000321 1143224 1714836 2000642 2286448 3000963 3429672 4001284 4572896 6001926 6859344 7002247 8002568 9145792 12003852 13718688 14004494 16005136 21006741 24007704 27437376 28008988 32010272 42013482 48015408 56017976 64020544 84026964 96030816 112035952 168053928 192061632 224071904 336107856 448143808 672215712 1344431424