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1346564340 = 2232511680083
BaseRepresentation
bin101000001000010…
…1111000011110100
310110211210120000100
41100100233003310
510224210024330
6341341314100
745240415362
oct12020570364
93424716010
101346564340
116311117a0
12316b65930
13185c8c644
14caba2632
157d33c060
hex5042f0f4

1346564340 has 72 divisors (see below), whose sum is σ = 4455910368. Its totient is φ = 326439360.

The previous prime is 1346564293. The next prime is 1346564377. The reversal of 1346564340 is 434656431.

1346564340 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 5 + 643 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1346564295 and 1346564304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338062 + ... + 342021.

It is an arithmetic number, because the mean of its divisors is an integer number (61887644).

Almost surely, 21346564340 is an apocalyptic number.

1346564340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1346564340 is an abundant number, since it is smaller than the sum of its proper divisors (3109346028).

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

1346564340 is a wasteful number, since it uses less digits than its factorization.

1346564340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680109 (or 680104 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 1346564340 is about 36695.5629470376. The cubic root of 1346564340 is about 1104.2710916657.

The spelling of 1346564340 in words is "one billion, three hundred forty-six million, five hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 680083 1360166 2040249 2720332 3400415 4080498 6120747 6800830 7480913 8160996 10201245 12241494 13601660 14961826 20402490 22442739 24482988 29923652 30603735 37404565 40804980 44885478 61207470 67328217 74809130 89770956 112213695 122414940 134656434 149618260 224427390 269312868 336641085 448854780 673282170 1346564340