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3346328385 = 325313237581
BaseRepresentation
bin1100011101110100…
…1110101101000001
322122012201002120100
43013131032231001
523323130002020
61312015233013
7145632215301
oct30735165501
98565632510
103346328385
111467a08054
12794818769
1341438348a
1423a5d9601
15148ba4a90
hexc774eb41

3346328385 has 24 divisors (see below), whose sum is σ = 5818858344. Its totient is φ = 1778999040.

The previous prime is 3346328339. The next prime is 3346328437. The reversal of 3346328385 is 5838236433.

3346328385 is a `hidden beast` number, since 3 + 3 + 4 + 632 + 8 + 3 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 491242896 + 2855085489 = 22164^2 + 53433^2 .

It is not a de Polignac number, because 3346328385 - 28 = 3346328129 is a prime.

It is a super-2 number, since 2×33463283852 = 22395827320513416450, which contains 22 as substring.

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 3346328385.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104706 + ... + 132875.

It is an arithmetic number, because the mean of its divisors is an integer number (242452431).

Almost surely, 23346328385 is an apocalyptic number.

It is an amenable number.

3346328385 is a deficient number, since it is larger than the sum of its proper divisors (2472529959).

3346328385 is a wasteful number, since it uses less digits than its factorization.

3346328385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237905 (or 237902 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 3346328385 is about 57847.4578957451. The cubic root of 3346328385 is about 1495.7402679060.

The spelling of 3346328385 in words is "three billion, three hundred forty-six million, three hundred twenty-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 313 939 1565 2817 4695 14085 237581 712743 1187905 2138229 3563715 10691145 74362853 223088559 371814265 669265677 1115442795 3346328385