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424396 = 22723659
BaseRepresentation
bin1100111100111001100
3210120011101
41213213030
5102040041
613032444
73415210
oct1474714
9716141
10424396
1126a945
12185724
1311b22b
14b0940
1585b31
hex679cc

424396 has 24 divisors (see below), whose sum is σ = 887040. Its totient is φ = 173712.

The previous prime is 424351. The next prime is 424397. The reversal of 424396 is 693424.

It is a super-2 number, since 2×4243962 = 360223929632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 46 + 215 + 39 + 49 + 95 + 66 .

It is a plaindrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315 + ... + 973.

It is an arithmetic number, because the mean of its divisors is an integer number (36960).

2424396 is an apocalyptic number.

424396 is a gapful number since it is divisible by the number (46) 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 424396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

424396 is an abundant number, since it is smaller than the sum of its proper divisors (462644).

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

424396 is a wasteful number, since it uses less digits than its factorization.

424396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 691 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 424396 is about 651.4568289611. The cubic root of 424396 is about 75.1490960013.

Adding to 424396 its sum of digits (28), we get a palindrome (424424).

It can be divided in two parts, 424 and 396, that added together give a triangular number (820 = T40).

The spelling of 424396 in words is "four hundred twenty-four thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 659 1318 2636 4613 9226 15157 18452 30314 60628 106099 212198 424396