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1340442312 = 2331110214973
BaseRepresentation
bin100111111100101…
…1000011011001000
310110102021112011120
41033321120123020
510221123123222
6341002155240
745134400036
oct11771303310
93412245146
101340442312
11628710170
12314ab2b20
13184927c41
14ca04b556
157ca2d15c
hex4fe586c8

1340442312 has 64 divisors (see below), whose sum is σ = 3660068160. Its totient is φ = 405715200.

The previous prime is 1340442289. The next prime is 1340442317. The reversal of 1340442312 is 2132440431.

1340442312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1340442317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267058 + ... + 272030.

It is an arithmetic number, because the mean of its divisors is an integer number (57188565).

Almost surely, 21340442312 is an apocalyptic number.

1340442312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1340442312 is an abundant number, since it is smaller than the sum of its proper divisors (2319625848).

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

1340442312 is a wasteful number, since it uses less digits than its factorization.

1340442312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6014 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1340442312 is about 36612.0514585020. The cubic root of 1340442312 is about 1102.5950609360.

Adding to 1340442312 its reverse (2132440431), we get a palindrome (3472882743).

The spelling of 1340442312 in words is "one billion, three hundred forty million, four hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1021 2042 3063 4084 4973 6126 8168 9946 11231 12252 14919 19892 22462 24504 29838 33693 39784 44924 54703 59676 67386 89848 109406 119352 134772 164109 218812 269544 328218 437624 656436 1312872 5077433 10154866 15232299 20309732 30464598 40619464 55851763 60929196 111703526 121858392 167555289 223407052 335110578 446814104 670221156 1340442312