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1340496378 = 23513331641
BaseRepresentation
bin100111111100110…
…0101100111111010
310110102101021100000
41033321211213322
510221131341003
6341003253430
745135013464
oct11771454772
93412337300
101340496378
11628747851
12314b1a276
13184946730
14ca063134
157ca3e1a3
hex4fe659fa

1340496378 has 96 divisors (see below), whose sum is σ = 3258545472. Its totient is φ = 410572800.

The previous prime is 1340496371. The next prime is 1340496383. The reversal of 1340496378 is 8736940431.

1340496378 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 4 + 9 + 637 + 8 = 666.

It is a super-2 number, since 2×13404963782 = 3593861078862237768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1340496371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2090938 + ... + 2091578.

It is an arithmetic number, because the mean of its divisors is an integer number (33943182).

Almost surely, 21340496378 is an apocalyptic number.

1340496378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340496378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629272736).

1340496378 is an abundant number, since it is smaller than the sum of its proper divisors (1918049094).

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

1340496378 is a wasteful number, since it uses less digits than its factorization.

1340496378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1340496378 is about 36612.7898144897. The cubic root of 1340496378 is about 1102.6098849242.

The spelling of 1340496378 in words is "one billion, three hundred forty million, four hundred ninety-six thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 331 351 486 641 662 702 993 1053 1282 1923 1986 2106 2979 3159 3846 4303 5769 5958 6318 8333 8606 8937 11538 12909 16666 17307 17874 24999 25818 26811 34614 38727 49998 51921 53622 74997 77454 80433 103842 116181 149994 155763 160866 212171 224991 232362 311526 348543 424342 449982 636513 674973 697086 1045629 1273026 1349946 1909539 2024919 2091258 2758223 3819078 4049838 5516446 5728617 8274669 11457234 16549338 17185851 24824007 34371702 49648014 51557553 74472021 103115106 148944042 223416063 446832126 670248189 1340496378