Search a number
-
+
420414332 = 221323351517
BaseRepresentation
bin11001000011110…
…000001101111100
31002022002021001012
4121003300031330
51330111224312
6105414534352
713263314522
oct3103601574
91068067035
10420414332
111a6349568
12b89673b8
136913b4a0
143db9a312
1526d97322
hex190f037c

420414332 has 24 divisors (see below), whose sum is σ = 826770336. Its totient is φ = 185600448.

The previous prime is 420414307. The next prime is 420414341. The reversal of 420414332 is 233414024.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 420414298 and 420414307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174563 + ... + 176954.

It is an arithmetic number, because the mean of its divisors is an integer number (34448764).

Almost surely, 2420414332 is an apocalyptic number.

It is an amenable number.

420414332 is a deficient number, since it is larger than the sum of its proper divisors (406356004).

420414332 is a wasteful number, since it uses less digits than its factorization.

420414332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351557 (or 351555 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 420414332 is about 20504.0077058121. The cubic root of 420414332 is about 749.1334180629.

Adding to 420414332 its reverse (233414024), we get a palindrome (653828356).

The spelling of 420414332 in words is "four hundred twenty million, four hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 4 13 23 26 46 52 92 299 598 1196 351517 703034 1406068 4569721 8084891 9139442 16169782 18278884 32339564 105103583 210207166 420414332