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1340446752 = 25338111913
BaseRepresentation
bin100111111100101…
…1001100000100000
310110102021202021000
41033321121200200
510221123244002
6341002232000
745134416011
oct11771314040
93412252230
101340446752
11628713537
12314ab5600
13184929c78
14ca04d008
157ca2e61c
hex4fe59820

1340446752 has 96 divisors (see below), whose sum is σ = 3916503360. Its totient is φ = 446031360.

The previous prime is 1340446733. The next prime is 1340446769. The reversal of 1340446752 is 2576440431.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699748 + ... + 701660.

It is an arithmetic number, because the mean of its divisors is an integer number (40796910).

Almost surely, 21340446752 is an apocalyptic number.

1340446752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340446752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958251680).

1340446752 is an abundant number, since it is smaller than the sum of its proper divisors (2576056608).

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

1340446752 is a wasteful number, since it uses less digits than its factorization.

1340446752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 1340446752 is about 36612.1120942237. The cubic root of 1340446752 is about 1102.5962783244.

The spelling of 1340446752 in words is "one billion, three hundred forty million, four hundred forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 811 864 1622 1913 2433 3244 3826 4866 5739 6488 7299 7652 9732 11478 12976 14598 15304 17217 19464 21897 22956 25952 29196 30608 34434 38928 43794 45912 51651 58392 61216 68868 77856 87588 91824 103302 116784 137736 175176 183648 206604 233568 275472 350352 413208 550944 700704 826416 1551443 1652832 3102886 4654329 6205772 9308658 12411544 13962987 18617316 24823088 27925974 37234632 41888961 49646176 55851948 74469264 83777922 111703896 148938528 167555844 223407792 335111688 446815584 670223376 1340446752