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2324240 = 245171709
BaseRepresentation
bin1000110111011100010000
311101002020222
420313130100
51043333430
6121452212
725520132
oct10673420
94332228
102324240
111348266
12941068
13634bb9
14447052
1530d9e5
hex237710

2324240 has 40 divisors (see below), whose sum is σ = 5725080. Its totient is φ = 874496.

The previous prime is 2324237. The next prime is 2324261. The reversal of 2324240 is 424232.

It can be written as a sum of positive squares in 4 ways, for example, as 204304 + 2119936 = 452^2 + 1456^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506 + ... + 2214.

It is an arithmetic number, because the mean of its divisors is an integer number (143127).

22324240 is an apocalyptic number.

2324240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862540).

2324240 is an abundant number, since it is smaller than the sum of its proper divisors (3400840).

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

2324240 is a wasteful number, since it uses less digits than its factorization.

2324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2324240 is about 1524.5458340109. The cubic root of 2324240 is about 132.4627164590.

Adding to 2324240 its reverse (424232), we get a palindrome (2748472).

The spelling of 2324240 in words is "two million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1709 3418 6836 8545 13672 17090 27344 29053 34180 58106 68360 116212 136720 145265 232424 290530 464848 581060 1162120 2324240