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2780340 = 2235149311
BaseRepresentation
bin1010100110110010110100
312020020220120
422212302310
51202432330
6135331540
732426643
oct12466264
95206816
102780340
111629a02
12b20bb0
13764694
1452535a
1539dc10
hex2a6cb4

2780340 has 48 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 734080.

The previous prime is 2780339. The next prime is 2780353. The reversal of 2780340 is 430872.

2780340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2780340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8785 + ... + 9095.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

22780340 is an apocalyptic number.

2780340 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 2780340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2780340 is an abundant number, since it is smaller than the sum of its proper divisors (5082060).

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

2780340 is a wasteful number, since it uses less digits than its factorization.

2780340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2780340 is about 1667.4351561605. The cubic root of 2780340 is about 140.6153188397.

The spelling of 2780340 in words is "two million, seven hundred eighty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 311 447 596 622 745 894 933 1244 1490 1555 1788 1866 2235 2980 3110 3732 4470 4665 6220 8940 9330 18660 46339 92678 139017 185356 231695 278034 463390 556068 695085 926780 1390170 2780340