Base | Representation |
---|---|
bin | 10100000101100… |
… | …011011001101000 |
3 | 212111010101010222 |
4 | 110011203121220 |
5 | 1142233000130 |
6 | 53235025212 |
7 | 11231311256 |
oct | 2405433150 |
9 | 774111128 |
10 | 337000040 |
11 | 163256133 |
12 | 94a3b208 |
13 | 54a84010 |
14 | 32a855d6 |
15 | 1e8bbce5 |
hex | 14163668 |
337000040 has 64 divisors (see below), whose sum is σ = 819624960. Its totient is φ = 123966720.
The previous prime is 337000007. The next prime is 337000067. The reversal of 337000040 is 40000733.
It is a super-2 number, since 2×3370000402 = 227138053920003200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 336999982 and 337000018.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158585 + ... + 160695.
It is an arithmetic number, because the mean of its divisors is an integer number (12806640).
Almost surely, 2337000040 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 337000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409812480).
337000040 is an abundant number, since it is smaller than the sum of its proper divisors (482624920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
337000040 is a wasteful number, since it uses less digits than its factorization.
337000040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2442 (or 2438 counting only the distinct ones).
The product of its (nonzero) digits is 252, while the sum is 17.
The square root of 337000040 is about 18357.5608401552. The cubic root of 337000040 is about 695.8943612515.
Adding to 337000040 its reverse (40000733), we get a palindrome (377000773).
The spelling of 337000040 in words is "three hundred thirty-seven million, forty", and thus it is an aban number.
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