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1344435408 = 2435345791
BaseRepresentation
bin101000000100010…
…0111010011010000
310110200210101200000
41100020213103100
510223133413113
6341223530000
745213340521
oct12010472320
93420711600
101344435408
1162a998248
123162b9900
131856c5614
14ca7aa848
157d06b373
hex502274d0

1344435408 has 60 divisors (see below), whose sum is σ = 3901916928. Its totient is φ = 448143840.

The previous prime is 1344435403. The next prime is 1344435437. The reversal of 1344435408 is 8045344431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344435403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169008 + ... + 176783.

Almost surely, 21344435408 is an apocalyptic number.

1344435408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1344435408 is an abundant number, since it is smaller than the sum of its proper divisors (2557481520).

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

1344435408 is an equidigital number, since it uses as much as digits as its factorization.

1344435408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345814 (or 345796 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 1344435408 is about 36666.5434422172. The cubic root of 1344435408 is about 1103.6888300723.

Adding to 1344435408 its reverse (8045344431), we get a palindrome (9389779839).

The spelling of 1344435408 in words is "one billion, three hundred forty-four million, four hundred thirty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 345791 691582 1037373 1383164 2074746 2766328 3112119 4149492 5532656 6224238 8298984 9336357 12448476 16597968 18672714 24896952 28009071 37345428 49793904 56018142 74690856 84027213 112036284 149381712 168054426 224072568 336108852 448145136 672217704 1344435408