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2640414 = 23731283
BaseRepresentation
bin1010000100101000011110
311222010222010
422010220132
51133443124
6132332050
731305000
oct12045036
94863863
102640414
111543867
12a74026
13715a9a
144ca370
15372529
hex284a1e

2640414 has 32 divisors (see below), whose sum is σ = 6163200. Its totient is φ = 753816.

The previous prime is 2640409. The next prime is 2640497. The reversal of 2640414 is 4140462.

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 15 ways as a sum of consecutive naturals, for example, 1417 + ... + 2699.

It is an arithmetic number, because the mean of its divisors is an integer number (192600).

22640414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2640414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081600).

2640414 is an abundant number, since it is smaller than the sum of its proper divisors (3522786).

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

2640414 is a wasteful number, since it uses less digits than its factorization.

2640414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2640414 is about 1624.9350756261. The cubic root of 2640414 is about 138.2156887560.

Adding to 2640414 its reverse (4140462), we get a palindrome (6780876).

The spelling of 2640414 in words is "two million, six hundred forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 1283 2058 2566 3849 7698 8981 17962 26943 53886 62867 125734 188601 377202 440069 880138 1320207 2640414