Base | Representation |
---|---|
bin | 1100011010111111… |
… | …1010010011010100 |
3 | 22121101100112012200 |
4 | 3012233322103110 |
5 | 23312104321330 |
6 | 1310512444500 |
7 | 145426225506 |
oct | 30657722324 |
9 | 8541315180 |
10 | 3334448340 |
11 | 1461233433 |
12 | 790849730 |
13 | 411a83c72 |
14 | 238bc5d76 |
15 | 147b09a60 |
hex | c6bfa4d4 |
3334448340 has 144 divisors (see below), whose sum is σ = 10816500240. Its totient is φ = 828518400.
The previous prime is 3334448329. The next prime is 3334448347. The reversal of 3334448340 is 438444333.
It can be written as a sum of positive squares in 8 ways, for example, as 384003216 + 2950445124 = 19596^2 + 54318^2 .
It is a super-2 number, since 2×33344483402 = 22237091464257511200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 3334448295 and 3334448304.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3334448347) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303666 + ... + 314454.
It is an arithmetic number, because the mean of its divisors is an integer number (75114585).
Almost surely, 23334448340 is an apocalyptic number.
3334448340 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 3334448340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408250120).
3334448340 is an abundant number, since it is smaller than the sum of its proper divisors (7482051900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3334448340 is a wasteful number, since it uses less digits than its factorization.
3334448340 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10922 (or 10917 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 36.
The square root of 3334448340 is about 57744.6823525768. The cubic root of 3334448340 is about 1493.9681234899.
The spelling of 3334448340 in words is "three billion, three hundred thirty-four million, four hundred forty-eight thousand, three hundred forty".
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