Search a number
-
+
3423420 = 223257111319
BaseRepresentation
bin1101000011110010111100
320102221001100
431003302330
51334022140
6201213100
741045550
oct15036274
96387040
103423420
111a29080
121191190
1392b2c0
14651860
15479530
hex343cbc

3423420 has 288 divisors, whose sum is σ = 14676480. Its totient is φ = 622080.

The previous prime is 3423419. The next prime is 3423457. The reversal of 3423420 is 243243.

3423420 is digitally balanced in base 5 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

3423420 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 3423393 and 3423402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180171 + ... + 180189.

It is an arithmetic number, because the mean of its divisors is an integer number (50960).

Almost surely, 23423420 is an apocalyptic number.

3423420 is a gapful number since it is divisible by the number (30) 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 3423420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

3423420 is an abundant number, since it is smaller than the sum of its proper divisors (11253060).

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

3423420 is a wasteful number, since it uses less digits than its factorization.

3423420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3423420 is about 1850.2486319411. The cubic root of 3423420 is about 150.7139299691.

Adding to 3423420 its reverse (243243), we get a palindrome (3666663).

The spelling of 3423420 in words is "three million, four hundred twenty-three thousand, four hundred twenty".