Base | Representation |
---|---|
bin | 1100011111111111… |
… | …0101110000011000 |
3 | 22122211210001012000 |
4 | 3013333311300120 |
5 | 23332440314430 |
6 | 1312541521000 |
7 | 146102303622 |
oct | 30777656030 |
9 | 8584701160 |
10 | 3355401240 |
11 | 1472044684 |
12 | 797873160 |
13 | 41620c029 |
14 | 23b8bbc12 |
15 | 149897e60 |
hex | c7ff5c18 |
3355401240 has 128 divisors (see below), whose sum is σ = 11487096000. Its totient is φ = 870580224.
The previous prime is 3355401229. The next prime is 3355401289. The reversal of 3355401240 is 421045533.
It is a super-3 number, since 3×33554012403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2025 + ... + 81944.
Almost surely, 23355401240 is an apocalyptic number.
3355401240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3355401240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743548000).
3355401240 is an abundant number, since it is smaller than the sum of its proper divisors (8131694760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3355401240 is a wasteful number, since it uses less digits than its factorization.
3355401240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 84026 (or 84016 counting only the distinct ones).
The product of its (nonzero) digits is 7200, while the sum is 27.
The square root of 3355401240 is about 57925.8253286045. The cubic root of 3355401240 is about 1497.0908415121.
Adding to 3355401240 its reverse (421045533), we get a palindrome (3776446773).
The spelling of 3355401240 in words is "three billion, three hundred fifty-five million, four hundred one thousand, two hundred forty".
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