Search a number
-
+
1345738068 = 223272751419
BaseRepresentation
bin101000000110110…
…0101010101010100
310110210020120120200
41100031211111110
510224002104233
6341311500500
745230404413
oct12015452524
93423216520
101345738068
116306a7a24
12316827730
13185a6051c
14caa2947a
157d227313
hex50365554

1345738068 has 36 divisors (see below), whose sum is σ = 3406472160. Its totient is φ = 447953616.

The previous prime is 1345738057. The next prime is 1345738111. The reversal of 1345738068 is 8608375431.

1345738068 is a `hidden beast` number, since 13 + 4 + 573 + 8 + 0 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13457380682 = 3622021895328745248, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 463 + ... + 51881.

Almost surely, 21345738068 is an apocalyptic number.

1345738068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1345738068 is an abundant number, since it is smaller than the sum of its proper divisors (2060734092).

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

1345738068 is a wasteful number, since it uses less digits than its factorization.

1345738068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52156 (or 52151 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1345738068 is about 36684.3027465427. The cubic root of 1345738068 is about 1104.0451797043.

The spelling of 1345738068 in words is "one billion, three hundred forty-five million, seven hundred thirty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 727 1454 2181 2908 4362 6543 8724 13086 26172 51419 102838 154257 205676 308514 462771 617028 925542 1851084 37381613 74763226 112144839 149526452 224289678 336434517 448579356 672869034 1345738068