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3364145631 = 3271113137057
BaseRepresentation
bin1100100010000100…
…1100100111011111
322200110020022020100
43020201030213133
523342210130011
61313453152143
7146236523520
oct31041144737
98613208210
103364145631
111476a77450
1279a78b653
13417c81222
1423cb16847
1514a523d56
hexc884c9df

3364145631 has 48 divisors (see below), whose sum is σ = 6104786688. Its totient is φ = 1734220800.

The previous prime is 3364145627. The next prime is 3364145641. The reversal of 3364145631 is 1365414633.

3364145631 is a `hidden beast` number, since 3 + 3 + 6 + 4 + 14 + 5 + 631 = 666.

3364145631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3364145631 - 22 = 3364145627 is a prime.

It is a super-2 number, since 2×33641456312 = 22634951653152776322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364145641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72255 + ... + 109311.

It is an arithmetic number, because the mean of its divisors is an integer number (127183056).

Almost surely, 23364145631 is an apocalyptic number.

3364145631 is a deficient number, since it is larger than the sum of its proper divisors (2740641057).

3364145631 is a wasteful number, since it uses less digits than its factorization.

3364145631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37212 (or 37209 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 3364145631 is about 58001.2554260681. The cubic root of 3364145631 is about 1498.3902183534.

The spelling of 3364145631 in words is "three billion, three hundred sixty-four million, one hundred forty-five thousand, six hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 131 231 393 693 917 1179 1441 2751 4323 8253 10087 12969 30261 37057 90783 111171 259399 333513 407627 778197 1222881 2334591 2853389 3668643 4854467 8560167 14563401 25680501 33981269 43690203 53399137 101943807 160197411 305831421 373793959 480592233 1121381877 3364145631