Search a number
-
+
2261340 = 2232517739
BaseRepresentation
bin1000101000000101011100
311020212222100
420220011130
51034330330
6120245100
725135554
oct10500534
94225870
102261340
111304a84
12910790
13612393
1442c164
152ea060
hex22815c

2261340 has 72 divisors (see below), whose sum is σ = 7272720. Its totient is φ = 566784.

The previous prime is 2261309. The next prime is 2261353. The reversal of 2261340 is 431622.

It is a happy number.

It is a super-2 number, since 2×22613402 = 10227317191200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2691 + ... + 3429.

It is an arithmetic number, because the mean of its divisors is an integer number (101010).

22261340 is an apocalyptic number.

2261340 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 2261340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636360).

2261340 is an abundant number, since it is smaller than the sum of its proper divisors (5011380).

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

2261340 is a wasteful number, since it uses less digits than its factorization.

2261340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2261340 is about 1503.7752491646. The cubic root of 2261340 is about 131.2568431806.

Adding to 2261340 its reverse (431622), we get a palindrome (2692962).

It can be divided in two parts, 2261 and 340, that added together give a square (2601 = 512).

The spelling of 2261340 in words is "two million, two hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 739 765 1020 1478 1530 2217 2956 3060 3695 4434 6651 7390 8868 11085 12563 13302 14780 22170 25126 26604 33255 37689 44340 50252 62815 66510 75378 113067 125630 133020 150756 188445 226134 251260 376890 452268 565335 753780 1130670 2261340