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2329940 = 225971201
BaseRepresentation
bin1000111000110101010100
311101101002002
420320311110
51044024230
6121534432
725542554
oct10706524
94341062
102329940
111351578
12944418
13637682
14449164
15310545
hex238d54

2329940 has 24 divisors (see below), whose sum is σ = 4947432. Its totient is φ = 921600.

The previous prime is 2329937. The next prime is 2329949. The reversal of 2329940 is 499232.

It can be written as a sum of positive squares in 4 ways, for example, as 13456 + 2316484 = 116^2 + 1522^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2329949) 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, 1340 + ... + 2540.

It is an arithmetic number, because the mean of its divisors is an integer number (206143).

22329940 is an apocalyptic number.

2329940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2329940 is an abundant number, since it is smaller than the sum of its proper divisors (2617492).

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

2329940 is a wasteful number, since it uses less digits than its factorization.

2329940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 2329940 is about 1526.4140984674. The cubic root of 2329940 is about 132.5709125578.

The spelling of 2329940 in words is "two million, three hundred twenty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1201 1940 2402 4804 6005 12010 24020 116497 232994 465988 582485 1164970 2329940