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2430324 = 223413577
BaseRepresentation
bin1001010001010101110100
311120110210000
421101111310
51110232244
6124031300
726441331
oct11212564
94513700
102430324
11140aa36
12992530
13671280
14473988
15330169
hex251574

2430324 has 60 divisors (see below), whose sum is σ = 6853924. Its totient is φ = 746496.

The previous prime is 2430313. The next prime is 2430331. The reversal of 2430324 is 4230342.

It can be written as a sum of positive squares in 2 ways, for example, as 1587600 + 842724 = 1260^2 + 918^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2430297 and 2430306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3924 + ... + 4500.

22430324 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 2430324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426962).

2430324 is an abundant number, since it is smaller than the sum of its proper divisors (4423600).

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

2430324 is a wasteful number, since it uses less digits than its factorization.

2430324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2430324 is about 1558.9496463966. The cubic root of 2430324 is about 134.4481173375.

Adding to 2430324 its sum of digits (18), we get a palindrome (2430342).

Adding to 2430324 its reverse (4230342), we get a palindrome (6660666).

The spelling of 2430324 in words is "two million, four hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 577 702 1053 1154 1404 1731 2106 2308 3462 4212 5193 6924 7501 10386 15002 15579 20772 22503 30004 31158 45006 46737 62316 67509 90012 93474 135018 186948 202527 270036 405054 607581 810108 1215162 2430324