Search a number
-
+
2772342 = 2322947113
BaseRepresentation
bin1010100100110101110110
312012211221100
422210311312
51202203332
6135230530
732364426
oct12446566
95184840
102772342
1116239a1
12b18446
13760b51
14522486
1539b67c
hex2a4d76

2772342 has 48 divisors (see below), whose sum is σ = 6402240. Its totient is φ = 865536.

The previous prime is 2772331. The next prime is 2772383. The reversal of 2772342 is 2432772.

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, 24478 + ... + 24590.

It is an arithmetic number, because the mean of its divisors is an integer number (133380).

22772342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201120).

2772342 is an abundant number, since it is smaller than the sum of its proper divisors (3629898).

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

2772342 is a wasteful number, since it uses less digits than its factorization.

2772342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 194 counting only the distinct ones).

The product of its digits is 4704, while the sum is 27.

The square root of 2772342 is about 1665.0351347644. The cubic root of 2772342 is about 140.4803567562.

The spelling of 2772342 in words is "two million, seven hundred seventy-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 29 47 58 87 94 113 141 174 226 261 282 339 423 522 678 846 1017 1363 2034 2726 3277 4089 5311 6554 8178 9831 10622 12267 15933 19662 24534 29493 31866 47799 58986 95598 154019 308038 462057 924114 1386171 2772342