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1344012144 = 24341682933
BaseRepresentation
bin101000000011011…
…1111111101110000
310110122222220001120
41100012333331300
510223031342034
6341210502240
745206625516
oct12006777560
93418886046
101344012144
1162a729242
12316134980
131855a7a77
14ca6da4b6
157ced5c49
hex501bff70

1344012144 has 40 divisors (see below), whose sum is σ = 3556720272. Its totient is φ = 437076480.

The previous prime is 1344012119. The next prime is 1344012167. The reversal of 1344012144 is 4412104431.

It is a super-3 number, since 3×13440121443 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339499 + ... + 343434.

Almost surely, 21344012144 is an apocalyptic number.

It is an amenable number.

1344012144 is an abundant number, since it is smaller than the sum of its proper divisors (2212708128).

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

1344012144 is a wasteful number, since it uses less digits than its factorization.

1344012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682985 (or 682979 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1344012144 is about 36660.7711866513. The cubic root of 1344012144 is about 1103.5729943892.

Adding to 1344012144 its reverse (4412104431), we get a palindrome (5756116575).

The spelling of 1344012144 in words is "one billion, three hundred forty-four million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 682933 1365866 2048799 2731732 4097598 5463464 8195196 10926928 16390392 28000253 32780784 56000506 84000759 112001012 168001518 224002024 336003036 448004048 672006072 1344012144