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2312424 = 233232117
BaseRepresentation
bin1000110100100011101000
311100111001100
420310203220
51042444144
6121321400
725440522
oct10644350
94314040
102312424
11133a3a4
12936260
1362c6ca
14442a12
1530a269
hex2348e8

2312424 has 24 divisors (see below), whose sum is σ = 6263010. Its totient is φ = 770784.

The previous prime is 2312419. The next prime is 2312477. The reversal of 2312424 is 4242132.

It can be written as a sum of positive squares in only one way, i.e., 2304324 + 8100 = 1518^2 + 90^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 2312397 and 2312406.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15987 + ... + 16130.

22312424 is an apocalyptic number.

2312424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2312424 is an abundant number, since it is smaller than the sum of its proper divisors (3950586).

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

2312424 is a wasteful number, since it uses less digits than its factorization.

2312424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32129 (or 32122 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2312424 is about 1520.6656437232. The cubic root of 2312424 is about 132.2378631258.

Adding to 2312424 its reverse (4242132), we get a palindrome (6554556).

The spelling of 2312424 in words is "two million, three hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 32117 64234 96351 128468 192702 256936 289053 385404 578106 770808 1156212 2312424