Search a number
-
+
1345960782 = 2322322914197
BaseRepresentation
bin101000000111001…
…1011101101001110
310110210122220002100
41100032123231032
510224031221112
6341320335530
745232322625
oct12016335516
93423586070
101345960782
1163083a291
123169145a6
13185b0a9ca
14caa866bc
157d26d2dc
hex5039bb4e

1345960782 has 48 divisors (see below), whose sum is σ = 3056545440. Its totient is φ = 427242816.

The previous prime is 1345960727. The next prime is 1345960783. The reversal of 1345960782 is 2870695431.

1345960782 is a `hidden beast` number, since 1 + 34 + 5 + 9 + 607 + 8 + 2 = 666.

1345960782 is digitally balanced in base 4 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13459607822 = 3623220853364103048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

1345960782 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345960783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87708 + ... + 101904.

It is an arithmetic number, because the mean of its divisors is an integer number (63678030).

It is a 1-persistent number, because it is pandigital, but 2⋅1345960782 = 2691921564 is not.

Almost surely, 21345960782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345960782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528272720).

1345960782 is an abundant number, since it is smaller than the sum of its proper divisors (1710584658).

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

1345960782 is a wasteful number, since it uses less digits than its factorization.

1345960782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14457 (or 14454 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1345960782 is about 36687.3381700008. The cubic root of 1345960782 is about 1104.1060812920.

The spelling of 1345960782 in words is "one billion, three hundred forty-five million, nine hundred sixty thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 229 414 458 687 1374 2061 4122 5267 10534 14197 15801 28394 31602 42591 47403 85182 94806 127773 255546 326531 653062 979593 1959186 2938779 3251113 5877558 6502226 9753339 19506678 29260017 58520034 74775599 149551198 224326797 448653594 672980391 1345960782