Base | Representation |
---|---|
bin | 1100101100011000… |
… | …0110100001101000 |
3 | 22210110120120000100 |
4 | 3023012012201220 |
5 | 23434241440230 |
6 | 1322035505400 |
7 | 150303130161 |
oct | 31306064150 |
9 | 8713516010 |
10 | 3407374440 |
11 | 1499412938 |
12 | 7b1158260 |
13 | 423c085c2 |
14 | 24476a768 |
15 | 14e212660 |
hex | cb186868 |
3407374440 has 96 divisors (see below), whose sum is σ = 11161313280. Its totient is φ = 901466496.
The previous prime is 3407374423. The next prime is 3407374457. The reversal of 3407374440 is 444737043.
It is an interprime number because it is at equal distance from previous prime (3407374423) and next prime (3407374457).
It is a super-2 number, since 2×34073744402 = 23220401148730627200, 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 = 3407374395 and 3407374404.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8457 + ... + 82983.
It is an arithmetic number, because the mean of its divisors is an integer number (116263680).
Almost surely, 23407374440 is an apocalyptic number.
3407374440 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 3407374440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580656640).
3407374440 is an abundant number, since it is smaller than the sum of its proper divisors (7753938840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3407374440 is a wasteful number, since it uses less digits than its factorization.
3407374440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74671 (or 74664 counting only the distinct ones).
The product of its (nonzero) digits is 112896, while the sum is 36.
The square root of 3407374440 is about 58372.7199983006. The cubic root of 3407374440 is about 1504.7809587657.
The spelling of 3407374440 in words is "three billion, four hundred seven million, three hundred seventy-four thousand, four hundred forty".
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