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423396 = 223219619
BaseRepresentation
bin1100111010111100100
3210111210100
41213113210
5102022041
613024100
73412251
oct1472744
9714710
10423396
1126a116
12185030
1311a93c
14b0428
15856b6
hex675e4

423396 has 36 divisors (see below), whose sum is σ = 1128400. Its totient is φ = 133488.

The previous prime is 423389. The next prime is 423403. The reversal of 423396 is 693324.

It is an interprime number because it is at equal distance from previous prime (423389) and next prime (423403).

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

Its product of digits (3888) is a multiple of the sum of its prime factors (648).

It is an unprimeable number.

423396 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 375 + ... + 993.

2423396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564200).

423396 is an abundant number, since it is smaller than the sum of its proper divisors (705004).

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

423396 is a wasteful number, since it uses less digits than its factorization.

423396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 643 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 423396 is about 650.6888657415. The cubic root of 423396 is about 75.0900252295.

The spelling of 423396 in words is "four hundred twenty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 619 684 1238 1857 2476 3714 5571 7428 11142 11761 22284 23522 35283 47044 70566 105849 141132 211698 423396