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345166464 = 2731947309
BaseRepresentation
bin10100100100101…
…101001010000000
3220001111021101010
4110210231022000
51201330311324
654130040520
711360603136
oct2444551200
9801437333
10345166464
11167923745
1297719140
1356683116
1433bad756
1520481829
hex1492d280

345166464 has 64 divisors (see below), whose sum is σ = 965124000. Its totient is φ = 108997632.

The previous prime is 345166463. The next prime is 345166477. The reversal of 345166464 is 464661543.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (345166463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16359 + ... + 30950.

Almost surely, 2345166464 is an apocalyptic number.

It is an amenable number.

345166464 is an abundant number, since it is smaller than the sum of its proper divisors (619957536).

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

345166464 is a wasteful number, since it uses less digits than its factorization.

345166464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47345 (or 47333 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 345166464 is about 18578.6561408515. The cubic root of 345166464 is about 701.4706929589.

The spelling of 345166464 in words is "three hundred forty-five million, one hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 47309 94618 141927 189236 283854 378472 567708 756944 898871 1135416 1513888 1797742 2270832 2696613 3027776 3595484 4541664 5393226 6055552 7190968 9083328 10786452 14381936 18166656 21572904 28763872 43145808 57527744 86291616 115055488 172583232 345166464