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3328805344 = 25375353047
BaseRepresentation
bin1100011001101001…
…1000100111100000
322120222201211110211
43012122120213200
523304133232334
61310151503504
7145330243564
oct30632304740
98528654424
103328805344
1114590297a7
1278a987b94
13410859607
142381576a4
15147392a64
hexc66989e0

3328805344 has 48 divisors (see below), whose sum is σ = 6857833248. Its totient is φ = 1588833792.

The previous prime is 3328805317. The next prime is 3328805351. The reversal of 3328805344 is 4435088233.

It is a super-2 number, since 2×33288053442 = 22161890036485916672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3328805297 and 3328805306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36229 + ... + 89275.

It is an arithmetic number, because the mean of its divisors is an integer number (142871526).

Almost surely, 23328805344 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 3328805344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428916624).

3328805344 is an abundant number, since it is smaller than the sum of its proper divisors (3529027904).

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

3328805344 is a wasteful number, since it uses less digits than its factorization.

3328805344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53147 (or 53139 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 3328805344 is about 57695.8000551167. The cubic root of 3328805344 is about 1493.1248839219.

The spelling of 3328805344 in words is "three billion, three hundred twenty-eight million, eight hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 212 296 424 592 848 1184 1696 1961 3922 7844 15688 31376 53047 62752 106094 212188 424376 848752 1697504 1962739 2811491 3925478 5622982 7850956 11245964 15701912 22491928 31403824 44983856 62807648 89967712 104025167 208050334 416100668 832201336 1664402672 3328805344