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423242112 = 2733729789
BaseRepresentation
bin11001001110100…
…010100110000000
31002111101221000210
4121032202212000
51331322221422
6105555314120
713326333006
oct3116424600
91074357023
10423242112
111a7a00077
12b98ab940
13698bb627
14402d4a76
152725510c
hex193a2980

423242112 has 64 divisors (see below), whose sum is σ = 1154660400. Its totient is φ = 137263104.

The previous prime is 423242107. The next prime is 423242129. The reversal of 423242112 is 211242324.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 687 + ... + 29102.

Almost surely, 2423242112 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 423242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577330200).

423242112 is an abundant number, since it is smaller than the sum of its proper divisors (731418288).

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

423242112 is a wasteful number, since it uses less digits than its factorization.

423242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29843 (or 29831 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 423242112 is about 20572.8489033483. The cubic root of 423242112 is about 750.8092669131.

Adding to 423242112 its reverse (211242324), we get a palindrome (634484436).

The spelling of 423242112 in words is "four hundred twenty-three million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14208 29789 59578 89367 119156 178734 238312 357468 476624 714936 953248 1102193 1429872 1906496 2204386 2859744 3306579 3812992 4408772 5719488 6613158 8817544 11438976 13226316 17635088 26452632 35270176 52905264 70540352 105810528 141080704 211621056 423242112