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420315324 = 2231113244939
BaseRepresentation
bin11001000011011…
…000000010111100
31002021220020020020
4121003120002330
51330100042244
6105412452140
713262423052
oct3103300274
91067806206
10420315324
111a6291140
12b891a050
13691053c0
143db721d2
1526d77d19
hex190d80bc

420315324 has 48 divisors (see below), whose sum is σ = 1152197760. Its totient is φ = 117570240.

The previous prime is 420315323. The next prime is 420315331. The reversal of 420315324 is 423513024.

It is a junction number, because it is equal to n+sod(n) for n = 420315294 and 420315303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420315323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120754 + ... + 124185.

It is an arithmetic number, because the mean of its divisors is an integer number (24004120).

Almost surely, 2420315324 is an apocalyptic number.

420315324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420315324 is an abundant number, since it is smaller than the sum of its proper divisors (731882436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420315324 is a wasteful number, since it uses less digits than its factorization.

420315324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244970 (or 244968 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 420315324 is about 20501.5932063828. The cubic root of 420315324 is about 749.0746062203.

Adding to 420315324 its reverse (423513024), we get a palindrome (843828348).

The spelling of 420315324 in words is "four hundred twenty million, three hundred fifteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 244939 489878 734817 979756 1469634 2694329 2939268 3184207 5388658 6368414 8082987 9552621 10777316 12736828 16165974 19105242 32331948 35026277 38210484 70052554 105078831 140105108 210157662 420315324