Search a number
-
+
2342720 = 2657321
BaseRepresentation
bin1000111011111101000000
311102000121102
420323331000
51044431340
6122113532
725625042
oct10737500
94360542
102342720
111360136
1294b8a8
13640433
1444da92
15314215
hex23bf40

2342720 has 28 divisors (see below), whose sum is σ = 5579364. Its totient is φ = 936960.

The previous prime is 2342687. The next prime is 2342723. The reversal of 2342720 is 272432.

It is a happy number.

2342720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 246016 + 2096704 = 496^2 + 1448^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2342692 and 2342701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342723) 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 3 ways as a sum of consecutive naturals, for example, 3341 + ... + 3980.

It is an arithmetic number, because the mean of its divisors is an integer number (199263).

22342720 is an apocalyptic number.

2342720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342720 is an abundant number, since it is smaller than the sum of its proper divisors (3236644).

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

2342720 is an equidigital number, since it uses as much as digits as its factorization.

2342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7338 (or 7328 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 2342720 is about 1530.5946556812. The cubic root of 2342720 is about 132.8128598375.

The spelling of 2342720 in words is "two million, three hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 7321 14642 29284 36605 58568 73210 117136 146420 234272 292840 468544 585680 1171360 2342720