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297424 = 2429641
BaseRepresentation
bin1001000100111010000
3120002222201
41020213100
534004144
610212544
72346061
oct1104720
9502881
10297424
11193506
12124154
13a54ba
147a568
155d1d4
hex489d0

297424 has 20 divisors (see below), whose sum is σ = 597060. Its totient is φ = 143360.

The previous prime is 297421. The next prime is 297439. The reversal of 297424 is 424792.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 78400 = 468^2 + 280^2 .

It is a super-2 number, since 2×2974242 = 176922071552, which contains 22 as substring.

It is a d-powerful number, because it can be written as 25 + 9 + 47 + 75 + 211 + 49 .

Its product of digits (4032) is a multiple of the sum of its prime divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 297392 and 297401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (297421) 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 3 ways as a sum of consecutive naturals, for example, 144 + ... + 784.

It is an arithmetic number, because the mean of its divisors is an integer number (29853).

2297424 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 297424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298530).

297424 is an abundant number, since it is smaller than the sum of its proper divisors (299636).

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

297424 is a wasteful number, since it uses less digits than its factorization.

297424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 297424 is about 545.3659321960. The cubic root of 297424 is about 66.7511373697.

Subtracting from 297424 its product of digits (4032), we obtain a palindrome (293392).

It can be divided in two parts, 29 and 7424, that multiplied together give a square (215296 = 4642).

The spelling of 297424 in words is "two hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 641 1282 2564 5128 10256 18589 37178 74356 148712 297424