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3345208856 = 2311199672069
BaseRepresentation
bin1100011101100011…
…1101011000011000
322122010121012212022
43013120331120120
523322333140411
61311535234012
7145616543333
oct30730753030
98563535768
103345208856
111467312a20
12794378908
13414080a32
1423a3c761a
15148a32edb
hexc763d618

3345208856 has 64 divisors (see below), whose sum is σ = 7213536000. Its totient is φ = 1438335360.

The previous prime is 3345208831. The next prime is 3345208859. The reversal of 3345208856 is 6588025433.

3345208856 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 2×33452088562 = 22380844580521657472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345208859) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1615790 + ... + 1617858.

It is an arithmetic number, because the mean of its divisors is an integer number (112711500).

Almost surely, 23345208856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3345208856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606768000).

3345208856 is an abundant number, since it is smaller than the sum of its proper divisors (3868327144).

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

3345208856 is a wasteful number, since it uses less digits than its factorization.

3345208856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The square root of 3345208856 is about 57837.7805244980. The cubic root of 3345208856 is about 1495.5734471213.

The spelling of 3345208856 in words is "three billion, three hundred forty-five million, two hundred eight thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 967 1672 1934 2069 3868 4138 7736 8276 10637 16552 18373 21274 22759 36746 39311 42548 45518 73492 78622 85096 91036 146984 157244 182072 202103 314488 404206 432421 808412 864842 1616824 1729684 2000723 3459368 4001446 8002892 16005784 22007953 38013737 44015906 76027474 88031812 152054948 176063624 304109896 418151107 836302214 1672604428 3345208856