Search a number
-
+
423130320 = 243254379173
BaseRepresentation
bin11001001110000…
…111010011010000
31002111012020200100
4121032013103100
51331310132240
6105553052400
713325356044
oct3116072320
91074166610
10423130320
111a7934088
12b9857100
136987c792
14402a6024
1527231e30
hex193874d0

423130320 has 240 divisors, whose sum is σ = 1480976640. Its totient is φ = 108186624.

The previous prime is 423130319. The next prime is 423130321. The reversal of 423130320 is 23031324.

It is an interprime number because it is at equal distance from previous prime (423130319) and next prime (423130321).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 423130293 and 423130302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423130321) 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 47 ways as a sum of consecutive naturals, for example, 2445754 + ... + 2445926.

It is an arithmetic number, because the mean of its divisors is an integer number (6170736).

Almost surely, 2423130320 is an apocalyptic number.

423130320 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 423130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740488320).

423130320 is an abundant number, since it is smaller than the sum of its proper divisors (1057846320).

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

423130320 is a wasteful number, since it uses less digits than its factorization.

423130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 423130320 is about 20570.1317448382. The cubic root of 423130320 is about 750.7431567142.

Adding to 423130320 its reverse (23031324), we get a palindrome (446161644).

The spelling of 423130320 in words is "four hundred twenty-three million, one hundred thirty thousand, three hundred twenty".