Base | Representation |
---|---|
bin | 1101001110100101111000 |
3 | 20112011201010 |
4 | 31032211320 |
5 | 1341431030 |
6 | 202153520 |
7 | 41321511 |
oct | 15164570 |
9 | 6464633 |
10 | 3467640 |
11 | 1a59320 |
12 | 11b28a0 |
13 | 945477 |
14 | 663a08 |
15 | 4876b0 |
hex | 34e978 |
3467640 has 128 divisors (see below), whose sum is σ = 11819520. Its totient is φ = 806400.
The previous prime is 3467623. The next prime is 3467647. The reversal of 3467640 is 467643.
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is an Ulam number.
It is a junction number, because it is equal to n+sod(n) for n = 3467598 and 3467607.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3467647) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48805 + ... + 48875.
It is an arithmetic number, because the mean of its divisors is an integer number (92340).
Almost surely, 23467640 is an apocalyptic number.
3467640 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 3467640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909760).
3467640 is an abundant number, since it is smaller than the sum of its proper divisors (8351880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3467640 is a wasteful number, since it uses less digits than its factorization.
3467640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 133 (or 129 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 30.
The square root of 3467640 is about 1862.1600360871. The cubic root of 3467640 is about 151.3600751430.
It can be divided in two parts, 34676 and 40, that added together give a triangular number (34716 = T263).
The spelling of 3467640 in words is "three million, four hundred sixty-seven thousand, six hundred forty".
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