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2842290 = 234511229
BaseRepresentation
bin1010110101111010110010
312100101220000
422311322302
51211423130
6140530430
733105363
oct12657262
95311800
102842290
111671500
12b50a16
13786939
1453db6a
153b2260
hex2b5eb2

2842290 has 120 divisors (see below), whose sum is σ = 8690220. Its totient is φ = 665280.

The previous prime is 2842283. The next prime is 2842291. The reversal of 2842290 is 922482.

It can be written as a sum of positive squares in 2 ways, for example, as 2832489 + 9801 = 1683^2 + 99^2 .

It is a super-2 number, since 2×28422902 = 16157224888200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2842291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 97996 + ... + 98024.

22842290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2842290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345110).

2842290 is an abundant number, since it is smaller than the sum of its proper divisors (5847930).

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

2842290 is a wasteful number, since it uses less digits than its factorization.

2842290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2842290 is about 1685.9092502267. The cubic root of 2842290 is about 141.6520277069.

The spelling of 2842290 in words is "two million, eight hundred forty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 81 87 90 99 110 121 135 145 162 165 174 198 242 261 270 290 297 319 330 363 405 435 495 522 594 605 638 726 783 810 870 891 957 990 1089 1210 1305 1485 1566 1595 1782 1815 1914 2178 2349 2610 2871 2970 3190 3267 3509 3630 3915 4455 4698 4785 5445 5742 6534 7018 7830 8613 8910 9570 9801 10527 10890 11745 14355 16335 17226 17545 19602 21054 23490 25839 28710 31581 32670 35090 43065 49005 51678 52635 63162 86130 94743 98010 105270 129195 157905 189486 258390 284229 315810 473715 568458 947430 1421145 2842290