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1340306748 = 22321131110883
BaseRepresentation
bin100111111100011…
…0111010100111100
310110102000122012200
41033320313110330
510221104303443
6340555231500
745133263564
oct11770672474
93412018180
101340306748
11628628330
12314a48590
131848ab321
14ca013da4
157ca02dd3
hex4fe3753c

1340306748 has 72 divisors (see below), whose sum is σ = 3708222336. Its totient is φ = 404810400.

The previous prime is 1340306743. The next prime is 1340306789. The reversal of 1340306748 is 8476030431.

1340306748 is a `hidden beast` number, since 1 + 340 + 306 + 7 + 4 + 8 = 666.

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 (1340306743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117715 + ... + 128597.

It is an arithmetic number, because the mean of its divisors is an integer number (51503088).

Almost surely, 21340306748 is an apocalyptic number.

1340306748 is a gapful number since it is divisible by the number (18) 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 1340306748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854111168).

1340306748 is an abundant number, since it is smaller than the sum of its proper divisors (2367915588).

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

1340306748 is a wasteful number, since it uses less digits than its factorization.

1340306748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11215 (or 11210 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1340306748 is about 36610.2000540833. The cubic root of 1340306748 is about 1102.5578898136.

The spelling of 1340306748 in words is "one billion, three hundred forty million, three hundred six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 311 396 622 933 1244 1866 2799 3421 3732 5598 6842 10263 10883 11196 13684 20526 21766 30789 32649 41052 43532 61578 65298 97947 119713 123156 130596 195894 239426 359139 391788 478852 718278 1077417 1436556 2154834 3384613 4309668 6769226 10153839 13538452 20307678 30461517 37230743 40615356 60923034 74461486 111692229 121846068 148922972 223384458 335076687 446768916 670153374 1340306748