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2379240 = 233352203
BaseRepresentation
bin1001000100110111101000
311110212201000
421010313220
51102113430
6122555000
726136363
oct11046750
94425630
102379240
111385616
12968a60
13653c46
1445d0da
1531ee60
hex244de8

2379240 has 64 divisors (see below), whose sum is σ = 7934400. Its totient is φ = 634176.

The previous prime is 2379239. The next prime is 2379241. The reversal of 2379240 is 429732.

It is an interprime number because it is at equal distance from previous prime (2379239) and next prime (2379241).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2379241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22 + ... + 2181.

It is an arithmetic number, because the mean of its divisors is an integer number (123975).

22379240 is an apocalyptic number.

2379240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2379240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967200).

2379240 is an abundant number, since it is smaller than the sum of its proper divisors (5555160).

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

2379240 is a wasteful number, since it uses less digits than its factorization.

2379240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2379240 is about 1542.4785249721. The cubic root of 2379240 is about 133.4994318875.

It can be divided in two parts, 23792 and 40, that added together give a palindrome (23832).

The spelling of 2379240 in words is "two million, three hundred seventy-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2203 4406 6609 8812 11015 13218 17624 19827 22030 26436 33045 39654 44060 52872 59481 66090 79308 88120 99135 118962 132180 158616 198270 237924 264360 297405 396540 475848 594810 793080 1189620 2379240