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2540934 = 2321141313
BaseRepresentation
bin1001101100010110000110
311210002111200
421230112012
51122302214
6130243330
730411654
oct11542606
94702450
102540934
111486050
12a26546
136ac716
144a1dd4
15352d09
hex26c586

2540934 has 48 divisors (see below), whose sum is σ = 6171984. Its totient is φ = 748800.

The previous prime is 2540933. The next prime is 2540957. The reversal of 2540934 is 4390452.

It is a junction number, because it is equal to n+sod(n) for n = 2540898 and 2540907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7962 + ... + 8274.

It is an arithmetic number, because the mean of its divisors is an integer number (128583).

22540934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085992).

2540934 is an abundant number, since it is smaller than the sum of its proper divisors (3631050).

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

2540934 is a wasteful number, since it uses less digits than its factorization.

2540934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2540934 is about 1594.0307399796. The cubic root of 2540934 is about 136.4576207850.

The spelling of 2540934 in words is "two million, five hundred forty thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 313 369 451 626 738 902 939 1353 1878 2706 2817 3443 4059 5634 6886 8118 10329 12833 20658 25666 30987 38499 61974 76998 115497 141163 230994 282326 423489 846978 1270467 2540934