Search a number
-
+
2760342 = 231343823
BaseRepresentation
bin1010100001111010010110
312012020110220
422201322112
51201312332
6135055210
732314434
oct12417226
95166426
102760342
111615982
12b11506
13758550
1451bd54
15397d2c
hex2a1e96

2760342 has 32 divisors (see below), whose sum is σ = 6091008. Its totient is φ = 828576.

The previous prime is 2760337. The next prime is 2760361. The reversal of 2760342 is 2430672.

2760342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2943 + ... + 3765.

It is an arithmetic number, because the mean of its divisors is an integer number (190344).

22760342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2760342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045504).

2760342 is an abundant number, since it is smaller than the sum of its proper divisors (3330666).

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

2760342 is a wasteful number, since it uses less digits than its factorization.

2760342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2760342 is about 1661.4276992996. The cubic root of 2760342 is about 140.2773752569.

The spelling of 2760342 in words is "two million, seven hundred sixty thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 559 823 1118 1646 1677 2469 3354 4938 10699 21398 32097 35389 64194 70778 106167 212334 460057 920114 1380171 2760342