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2340672 = 26373167
BaseRepresentation
bin1000111011011101000000
311101220210120
420323131000
51044400142
6122100240
725616055
oct10733500
94356716
102340672
111359644
1294a680
1363c519
1444d02c
153137ec
hex23b740

2340672 has 56 divisors (see below), whose sum is σ = 6315456. Its totient is φ = 764928.

The previous prime is 2340661. The next prime is 2340673. The reversal of 2340672 is 2760432.

It is a super-3 number, since 3×23406723 = 38471837940069433344, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13933 + ... + 14099.

It is an arithmetic number, because the mean of its divisors is an integer number (112776).

22340672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157728).

2340672 is an abundant number, since it is smaller than the sum of its proper divisors (3974784).

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

2340672 is a wasteful number, since it uses less digits than its factorization.

2340672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2340672 is about 1529.9254883817. The cubic root of 2340672 is about 132.7741469972.

The spelling of 2340672 in words is "two million, three hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 167 192 219 292 334 438 501 584 668 876 1002 1168 1336 1752 2004 2336 2672 3504 4008 4672 5344 7008 8016 10688 12191 14016 16032 24382 32064 36573 48764 73146 97528 146292 195056 292584 390112 585168 780224 1170336 2340672