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966340349 = 13292563237
BaseRepresentation
bin111001100110010…
…010111011111101
32111100100011202022
4321212102323331
53434340342344
6235520005525
732642520542
oct7146227375
92440304668
10966340349
11456523897
1222b7608a5
13125283530
14924a8bc9
1559c830ee
hex39992efd

966340349 has 8 divisors (see below), whose sum is σ = 1076559960. Its totient is φ = 861247296.

The previous prime is 966340337. The next prime is 966340387. The reversal of 966340349 is 943043669.

It can be written as a sum of positive squares in 4 ways, for example, as 306775225 + 659565124 = 17515^2 + 25682^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-966340349 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966345349) 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 7 ways as a sum of consecutive naturals, for example, 1281242 + ... + 1281995.

It is an arithmetic number, because the mean of its divisors is an integer number (134569995).

Almost surely, 2966340349 is an apocalyptic number.

It is an amenable number.

966340349 is a deficient number, since it is larger than the sum of its proper divisors (110219611).

966340349 is a wasteful number, since it uses less digits than its factorization.

966340349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563279.

The product of its (nonzero) digits is 419904, while the sum is 44.

The square root of 966340349 is about 31086.0153284399. The cubic root of 966340349 is about 988.6518223409.

The spelling of 966340349 in words is "nine hundred sixty-six million, three hundred forty thousand, three hundred forty-nine".

Divisors: 1 13 29 377 2563237 33322081 74333873 966340349