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426328 = 23723331
BaseRepresentation
bin1101000000101011000
3210122210221
41220011120
5102120303
613045424
73423640
oct1500530
9718727
10426328
11271341
12186874
1311c086
14b1520
15864bd
hex68158

426328 has 32 divisors (see below), whose sum is σ = 956160. Its totient is φ = 174240.

The previous prime is 426319. The next prime is 426331. The reversal of 426328 is 823624.

It is a happy number.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

426328 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1123 + ... + 1453.

It is an arithmetic number, because the mean of its divisors is an integer number (29880).

2426328 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 426328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478080).

426328 is an abundant number, since it is smaller than the sum of its proper divisors (529832).

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

426328 is a wasteful number, since it uses less digits than its factorization.

426328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 426328 is about 652.9379756148. The cubic root of 426328 is about 75.2629584421.

It can be divided in two parts, 42632 and 8, that multiplied together give a square (341056 = 5842).

The spelling of 426328 in words is "four hundred twenty-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 331 644 662 1288 1324 2317 2648 4634 7613 9268 15226 18536 30452 53291 60904 106582 213164 426328