Search a number
-
+
423838800 = 2432527112139
BaseRepresentation
bin11001010000110…
…100010001010000
31002112112020112100
4121100310101100
51332000320200
6110020200400
713334366430
oct3120642120
91075466470
10423838800
111a8278400
12b9b39100
1369a6a0b8
144040c2c0
1527321d00
hex19434450

423838800 has 540 divisors, whose sum is σ = 1860957280. Its totient is φ = 87436800.

The previous prime is 423838769. The next prime is 423838813. The reversal of 423838800 is 8838324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3049131 + ... + 3049269.

Almost surely, 2423838800 is an apocalyptic number.

423838800 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 423838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930478640).

423838800 is an abundant number, since it is smaller than the sum of its proper divisors (1437118480).

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

423838800 is a wasteful number, since it uses less digits than its factorization.

423838800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 423838800 is about 20587.3456278365. The cubic root of 423838800 is about 751.1619322882.

The spelling of 423838800 in words is "four hundred twenty-three million, eight hundred thirty-eight thousand, eight hundred".