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966930345 = 33528325309
BaseRepresentation
bin111001101000100…
…010111110101001
32111101110011002000
4321220202332221
53440013232340
6235540401213
732650525623
oct7150427651
92441404060
10966930345
11456897097
1222b9a6209
1312542bc44
14925bdc13
1559d4cd30
hex39a22fa9

966930345 has 32 divisors (see below), whose sum is σ = 1725129600. Its totient is φ = 513853632.

The previous prime is 966930317. The next prime is 966930401. The reversal of 966930345 is 543039669.

It is a happy number.

966930345 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 966930345 - 25 = 966930313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 966930345.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25551 + ... + 50859.

It is an arithmetic number, because the mean of its divisors is an integer number (53910300).

Almost surely, 2966930345 is an apocalyptic number.

It is an amenable number.

966930345 is a deficient number, since it is larger than the sum of its proper divisors (758199255).

966930345 is a wasteful number, since it uses less digits than its factorization.

966930345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25606 (or 25600 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 966930345 is about 31095.5036138667. The cubic root of 966930345 is about 988.8529874724.

The spelling of 966930345 in words is "nine hundred sixty-six million, nine hundred thirty thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 283 849 1415 2547 4245 7641 12735 25309 38205 75927 126545 227781 379635 683343 1138905 3416715 7162447 21487341 35812235 64462023 107436705 193386069 322310115 966930345