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2642340 = 223547937
BaseRepresentation
bin1010000101000110100100
311222020121110
422011012210
51134023330
6132345020
731313421
oct12050644
94866543
102642340
111545258
12a75170
1371691c
144cad48
15372db0
hex2851a4

2642340 has 48 divisors (see below), whose sum is σ = 7564032. Its totient is φ = 688896.

The previous prime is 2642333. The next prime is 2642351. The reversal of 2642340 is 432462.

2642340 = T365 + T366 + ... + T400.

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, 2352 + ... + 3288.

It is an arithmetic number, because the mean of its divisors is an integer number (157584).

22642340 is an apocalyptic number.

2642340 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 2642340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782016).

2642340 is an abundant number, since it is smaller than the sum of its proper divisors (4921692).

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

2642340 is a wasteful number, since it uses less digits than its factorization.

2642340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2642340 is about 1625.5276066558. The cubic root of 2642340 is about 138.2492868606.

The spelling of 2642340 in words is "two million, six hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 937 940 1410 1874 2811 2820 3748 4685 5622 9370 11244 14055 18740 28110 44039 56220 88078 132117 176156 220195 264234 440390 528468 660585 880780 1321170 2642340