Search a number
-
+
2342368 = 25710457
BaseRepresentation
bin1000111011110111100000
311102000010101
420323313200
51044423433
6122112144
725624030
oct10736740
94360111
102342368
11135a946
1294b654
13640222
1444d8c0
1531407d
hex23bde0

2342368 has 24 divisors (see below), whose sum is σ = 5270832. Its totient is φ = 1003776.

The previous prime is 2342363. The next prime is 2342381. The reversal of 2342368 is 8632432.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 2 + 37 + 48 + 27 + 311 + 63 + 87 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5005 + ... + 5452.

It is an arithmetic number, because the mean of its divisors is an integer number (219618).

22342368 is an apocalyptic number.

2342368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2342368 is an abundant number, since it is smaller than the sum of its proper divisors (2928464).

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

2342368 is a wasteful number, since it uses less digits than its factorization.

2342368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10474 (or 10466 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 2342368 is about 1530.4796633735. The cubic root of 2342368 is about 132.8062076742.

Subtracting 2342368 from its reverse (8632432), we obtain a square (6290064 = 25082).

The spelling of 2342368 in words is "two million, three hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 10457 20914 41828 73199 83656 146398 167312 292796 334624 585592 1171184 2342368