Search a number
-
+
424093320 = 23355723271
BaseRepresentation
bin11001010001110…
…010011010001000
31002120000011200000
4121101302122020
51332031441240
6110025443000
713336506450
oct3121623210
91076004600
10424093320
111a8431652
12ba040460
1369b28bc1
1440476d60
1527372430
hex19472688

424093320 has 384 divisors, whose sum is σ = 1710858240. Its totient is φ = 92378880.

The previous prime is 424093301. The next prime is 424093321. The reversal of 424093320 is 23390424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (424093321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1564785 + ... + 1565055.

It is an arithmetic number, because the mean of its divisors is an integer number (4455360).

Almost surely, 2424093320 is an apocalyptic number.

424093320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424093320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855429120).

424093320 is an abundant number, since it is smaller than the sum of its proper divisors (1286764920).

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

424093320 is a wasteful number, since it uses less digits than its factorization.

424093320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 424093320 is about 20593.5261672206. The cubic root of 424093320 is about 751.3122626166.

The spelling of 424093320 in words is "four hundred twenty-four million, ninety-three thousand, three hundred twenty".