Base | Representation |
---|---|
bin | 1100010111100110… |
… | …1101011110000000 |
3 | 22120101121200000212 |
4 | 3011321231132000 |
5 | 23244440140000 |
6 | 1305244133252 |
7 | 145164401000 |
oct | 30571553600 |
9 | 8511550025 |
10 | 3320240000 |
11 | 1454209500 |
12 | 787b37228 |
13 | 40bb4aa6c |
14 | 236d68000 |
15 | 14674ec35 |
hex | c5e6d780 |
3320240000 has 480 divisors, whose sum is σ = 10595046000. Its totient is φ = 1034880000.
The previous prime is 3320239999. The next prime is 3320240023. The reversal of 3320240000 is 420233.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
3320240000 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 2×33202400002 = 22047987315200000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 301839995 + ... + 301840005.
Almost surely, 23320240000 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 3320240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297523000).
3320240000 is an abundant number, since it is smaller than the sum of its proper divisors (7274806000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3320240000 is an frugal number, since it uses more digits than its factorization.
3320240000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 77 (or 25 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 14.
The square root of 3320240000 is about 57621.5237563187. The cubic root of 3320240000 is about 1491.8431314733.
Multiplying 3320240000 by its sum of digits (14), we get a square (46483360000 = 2156002).
3320240000 divided by its sum of digits (14) gives a square (237160000 = 154002).
Adding to 3320240000 its reverse (420233), we get a palindrome (3320660233).
The spelling of 3320240000 in words is "three billion, three hundred twenty million, two hundred forty thousand".
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