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424023124 = 22723228627
BaseRepresentation
bin11001010001100…
…001010001010100
31002112212121101011
4121101201101110
51332022214444
6110024142004
713336065010
oct3121412124
91075777334
10424023124
111a8393938
12ba007904
1369b02c75
1440459540
152735b734
hex19461454

424023124 has 36 divisors (see below), whose sum is σ = 886551904. Its totient is φ = 173817072.

The previous prime is 424023109. The next prime is 424023137. The reversal of 424023124 is 421320424.

It is a happy number.

It is a super-3 number, since 3×4240231243 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 424023095 and 424023104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499 + ... + 29125.

Almost surely, 2424023124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424023124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443275952).

424023124 is an abundant number, since it is smaller than the sum of its proper divisors (462528780).

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

424023124 is a wasteful number, since it uses less digits than its factorization.

424023124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28684 (or 28659 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 424023124 is about 20591.8217746755. The cubic root of 424023124 is about 751.2708078840.

Adding to 424023124 its reverse (421320424), we get a palindrome (845343548).

The spelling of 424023124 in words is "four hundred twenty-four million, twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 529 644 1058 2116 3703 7406 14812 28627 57254 114508 200389 400778 658421 801556 1316842 2633684 4608947 9217894 15143683 18435788 30287366 60574732 106005781 212011562 424023124