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3345016014 = 2358238363
BaseRepresentation
bin1100011101100000…
…1110010011001110
322122010020102100000
43013120032103032
523322311003024
61311531145130
7145615111164
oct30730162316
98563212300
103345016014
1114671a104a
127942a51a6
13414014022
1423a377234
151489e5cc9
hexc760e4ce

3345016014 has 48 divisors (see below), whose sum is σ = 7525994112. Its totient is φ = 1113517368.

The previous prime is 3345015983. The next prime is 3345016019. The reversal of 3345016014 is 4106105433.

3345016014 is a `hidden beast` number, since 3 + 3 + 4 + 50 + 1 + 601 + 4 = 666.

3345016014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33450160142 = 22378264267832896392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345016019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395797 + ... + 404159.

It is an arithmetic number, because the mean of its divisors is an integer number (156791544).

Almost surely, 23345016014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3345016014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762997056).

3345016014 is an abundant number, since it is smaller than the sum of its proper divisors (4180978098).

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

3345016014 is an equidigital number, since it uses as much as digits as its factorization.

3345016014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9203 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3345016014 is about 57836.1134067634. The cubic root of 3345016014 is about 1495.5447080172.

The spelling of 3345016014 in words is "three billion, three hundred forty-five million, sixteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 823 1646 2469 4938 7407 8363 14814 16726 22221 25089 44442 50178 66663 75267 133326 150534 199989 225801 399978 451602 677403 1354806 2032209 4064418 6882749 13765498 20648247 41296494 61944741 123889482 185834223 371668446 557502669 1115005338 1672508007 3345016014