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3345145164 = 2232503184733
BaseRepresentation
bin1100011101100010…
…1101110101001100
322122010110222111100
43013120231311030
523322324121124
61311534023100
7145616156544
oct30730556514
98563428440
103345145164
11146727a089
12794347a90
1341405aa4a
1423a3ac324
15148a1e1c9
hexc762dd4c

3345145164 has 36 divisors (see below), whose sum is σ = 8472640176. Its totient is φ = 1112825568.

The previous prime is 3345145163. The next prime is 3345145171. The reversal of 3345145164 is 4615415433.

3345145164 is a `hidden beast` number, since 3 + 3 + 451 + 45 + 164 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33451451642 = 22379992336465173792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3345145163) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 74259 + ... + 110474.

It is an arithmetic number, because the mean of its divisors is an integer number (235351116).

Almost surely, 23345145164 is an apocalyptic number.

It is an amenable number.

3345145164 is an abundant number, since it is smaller than the sum of its proper divisors (5127495012).

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

3345145164 is a wasteful number, since it uses less digits than its factorization.

3345145164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185246 (or 185241 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 3345145164 is about 57837.2299129203. The cubic root of 3345145164 is about 1495.5639552707.

The spelling of 3345145164 in words is "three billion, three hundred forty-five million, one hundred forty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 503 1006 1509 2012 3018 4527 6036 9054 18108 184733 369466 554199 738932 1108398 1662597 2216796 3325194 6650388 92920699 185841398 278762097 371682796 557524194 836286291 1115048388 1672572582 3345145164