Search a number
-
+
298431 = 3371579
BaseRepresentation
bin1001000110110111111
3120011101000
41020312333
534022211
610221343
72352030
oct1106677
9504330
10298431
11194241
12124853
13a5ab3
147aa87
155d656
hex48dbf

298431 has 16 divisors (see below), whose sum is σ = 505600. Its totient is φ = 170424.

The previous prime is 298427. The next prime is 298451. The reversal of 298431 is 134892.

It is not a de Polignac number, because 298431 - 22 = 298427 is a prime.

It is a super-2 number, since 2×2984312 = 178122123522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 298395 and 298404.

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 298431.

It is not an unprimeable number, because it can be changed into a prime (298411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601 + ... + 978.

It is an arithmetic number, because the mean of its divisors is an integer number (31600).

2298431 is an apocalyptic number.

298431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

298431 is a deficient number, since it is larger than the sum of its proper divisors (207169).

298431 is a wasteful number, since it uses less digits than its factorization.

298431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1589 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 298431 is about 546.2883853790. The cubic root of 298431 is about 66.8263864826.

It can be divided in two parts, 298 and 431, that added together give a 6-th power (729 = 36).

The spelling of 298431 in words is "two hundred ninety-eight thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 1579 4737 11053 14211 33159 42633 99477 298431