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398424 = 233131277
BaseRepresentation
bin1100001010001011000
3202020112110
41201101120
5100222144
612312320
73246405
oct1412130
9666473
10398424
11252384
121726a0
1310c470
14a52ac
157d0b9
hex61458

398424 has 32 divisors (see below), whose sum is σ = 1073520. Its totient is φ = 122496.

The previous prime is 398423. The next prime is 398441. The reversal of 398424 is 424893.

It is a happy number.

398424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 398391 and 398400.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398424.

It is not an unprimeable number, because it can be changed into a prime (398423) by changing a digit.

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, 327 + ... + 950.

2398424 is an apocalyptic number.

It is an amenable number.

398424 is an abundant number, since it is smaller than the sum of its proper divisors (675096).

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

398424 is a wasteful number, since it uses less digits than its factorization.

398424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1295 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 398424 is about 631.2083649636. The cubic root of 398424 is about 73.5837353789.

The spelling of 398424 in words is "three hundred ninety-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1277 2554 3831 5108 7662 10216 15324 16601 30648 33202 49803 66404 99606 132808 199212 398424