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2431380 = 223572827
BaseRepresentation
bin1001010001100110010100
311120112020010
421101212110
51110301010
6124040220
726444400
oct11214624
94515203
102431380
111410806
12993070
136718b3
14474100
15330620
hex251994

2431380 has 72 divisors (see below), whose sum is σ = 7928928. Its totient is φ = 555072.

The previous prime is 2431367. The next prime is 2431393. The reversal of 2431380 is 831342.

2431380 = T49 + T50 + ... + T244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2431367) and next prime (2431393).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2527 + ... + 3353.

It is an arithmetic number, because the mean of its divisors is an integer number (110124).

22431380 is an apocalyptic number.

2431380 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 2431380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964464).

2431380 is an abundant number, since it is smaller than the sum of its proper divisors (5497548).

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

2431380 is a wasteful number, since it uses less digits than its factorization.

2431380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2431380 is about 1559.2882991929. The cubic root of 2431380 is about 134.4675875334.

The spelling of 2431380 in words is "two million, four hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 827 980 1470 1654 2481 2940 3308 4135 4962 5789 8270 9924 11578 12405 16540 17367 23156 24810 28945 34734 40523 49620 57890 69468 81046 86835 115780 121569 162092 173670 202615 243138 347340 405230 486276 607845 810460 1215690 2431380