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1345969152 = 210321121771
BaseRepresentation
bin101000000111001…
…1101110000000000
310110210200022120100
41100032131300000
510224032003102
6341320442400
745232356213
oct12016356000
93423608510
101345969152
11630845600
12316919400
13185b11768
14caa8977a
157d270a1c
hex5039dc00

1345969152 has 396 divisors, whose sum is σ = 4586884848. Its totient is φ = 378470400.

The previous prime is 1345969151. The next prime is 1345969181. The reversal of 1345969152 is 2519695431.

1345969152 is a `hidden beast` number, since 1 + 3 + 4 + 596 + 9 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a junction number, because it is equal to n+sod(n) for n = 1345969098 and 1345969107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345969151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18957277 + ... + 18957347.

Almost surely, 21345969152 is an apocalyptic number.

1345969152 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 1345969152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293442424).

1345969152 is an abundant number, since it is smaller than the sum of its proper divisors (3240915696).

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

1345969152 is a wasteful number, since it uses less digits than its factorization.

1345969152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 1345969152 is about 36687.4522418769. The cubic root of 1345969152 is about 1104.1083699542.

The spelling of 1345969152 in words is "one billion, three hundred forty-five million, nine hundred sixty-nine thousand, one hundred fifty-two".