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420414431 = 1997210523
BaseRepresentation
bin11001000011110…
…000001111011111
31002022002021011212
4121003300033133
51330111230211
6105414535035
713263315023
oct3103601737
91068067155
10420414431
111a6349648
12b896747b
136913b548
143db9a383
1526d9738b
hex190f03df

420414431 has 4 divisors (see below), whose sum is σ = 420626952. Its totient is φ = 420201912.

The previous prime is 420414427. The next prime is 420414433. The reversal of 420414431 is 134414024.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 420414431 - 22 = 420414427 is a prime.

It is a super-2 number, since 2×4204144312 = 353496587586107522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420414397 and 420414406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420414433) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103265 + ... + 107258.

It is an arithmetic number, because the mean of its divisors is an integer number (105156738).

Almost surely, 2420414431 is an apocalyptic number.

420414431 is a deficient number, since it is larger than the sum of its proper divisors (212521).

420414431 is a wasteful number, since it uses less digits than its factorization.

420414431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212520.

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 420414431 is about 20504.0101199741. The cubic root of 420414431 is about 749.1334768654.

Adding to 420414431 its reverse (134414024), we get a palindrome (554828455).

The spelling of 420414431 in words is "four hundred twenty million, four hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 1997 210523 420414431