Base | Representation |
---|---|
bin | 11000101011010… |
… | …011000011001010 |
3 | 1001212000112220100 |
4 | 120223103003022 |
5 | 1321441102102 |
6 | 105025310230 |
7 | 13154654001 |
oct | 3053230312 |
9 | 1055015810 |
10 | 414003402 |
11 | 1a276a97a |
12 | b6795376 |
13 | 67a05437 |
14 | 3cdabc38 |
15 | 2652ca1c |
hex | 18ad30ca |
414003402 has 12 divisors (see below), whose sum is σ = 897007410. Its totient is φ = 138001128.
The previous prime is 414003383. The next prime is 414003409. The reversal of 414003402 is 204300414.
It can be written as a sum of positive squares in only one way, i.e., 307686681 + 106316721 = 17541^2 + 10311^2 .
It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 23000189 = 414003402 / (4 + 1 + 4 + 0 + 0 + 3 + 4 + 0 + 2).
414003402 is a modest number, since divided by 3402 gives 414 as remainder.
It is not an unprimeable number, because it can be changed into a prime (414003409) by changing a digit.
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 5 ways as a sum of consecutive naturals, for example, 11500077 + ... + 11500112.
Almost surely, 2414003402 is an apocalyptic number.
414003402 is an abundant number, since it is smaller than the sum of its proper divisors (483004008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
414003402 is a wasteful number, since it uses less digits than its factorization.
414003402 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23000197 (or 23000194 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 414003402 is about 20347.0735487932. The cubic root of 414003402 is about 745.3060328513.
Adding to 414003402 its reverse (204300414), we get a palindrome (618303816).
The spelling of 414003402 in words is "four hundred fourteen million, three thousand, four hundred two".
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