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2342424 = 233773191
BaseRepresentation
bin1000111011111000011000
311102000012110
420323320120
51044424144
6122112320
725624140
oct10737030
94360173
102342424
11135a997
1294b6a0
13640266
1444d920
153140b9
hex23be18

2342424 has 64 divisors (see below), whose sum is σ = 6819840. Its totient is φ = 656640.

The previous prime is 2342423. The next prime is 2342437. The reversal of 2342424 is 4242432.

2342424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2342424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12169 + ... + 12359.

It is an arithmetic number, because the mean of its divisors is an integer number (106560).

22342424 is an apocalyptic number.

2342424 is a gapful number since it is divisible by the number (24) 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 2342424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409920).

2342424 is an abundant number, since it is smaller than the sum of its proper divisors (4477416).

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

2342424 is a wasteful number, since it uses less digits than its factorization.

2342424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its digits is 1536, while the sum is 21.

The square root of 2342424 is about 1530.4979581822. The cubic root of 2342424 is about 132.8072660175.

Adding to 2342424 its reverse (4242432), we get a palindrome (6584856).

The spelling of 2342424 in words is "two million, three hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 191 219 292 382 438 511 573 584 764 876 1022 1146 1337 1528 1533 1752 2044 2292 2674 3066 4011 4088 4584 5348 6132 8022 10696 12264 13943 16044 27886 32088 41829 55772 83658 97601 111544 167316 195202 292803 334632 390404 585606 780808 1171212 2342424