Search a number
-
+
424034112 = 2633975563
BaseRepresentation
bin11001010001100…
…011111101000000
31002112220011110010
4121101203331000
51332023042422
6110024304520
713336142025
oct3121437500
91075804403
10424034112
111a83a1117
12ba012140
1369b07c78
144045d54c
152735eb0c
hex19463f40

424034112 has 56 divisors (see below), whose sum is σ = 1124951776. Its totient is φ = 140963328.

The previous prime is 424034101. The next prime is 424034113. The reversal of 424034112 is 211430424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424034113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73443 + ... + 79005.

Almost surely, 2424034112 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 424034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562475888).

424034112 is an abundant number, since it is smaller than the sum of its proper divisors (700917664).

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

424034112 is a wasteful number, since it uses less digits than its factorization.

424034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5975 (or 5965 counting only the distinct ones).

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

The square root of 424034112 is about 20592.0885778981. The cubic root of 424034112 is about 751.2772972253.

Adding to 424034112 its reverse (211430424), we get a palindrome (635464536).

The spelling of 424034112 in words is "four hundred twenty-four million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 397 794 1191 1588 2382 3176 4764 5563 6352 9528 11126 12704 16689 19056 22252 25408 33378 38112 44504 66756 76224 89008 133512 178016 267024 356032 534048 1068096 2208511 4417022 6625533 8834044 13251066 17668088 26502132 35336176 53004264 70672352 106008528 141344704 212017056 424034112