[go: up one dir, main page]

Search a number
-
+
2342412 = 223323241
BaseRepresentation
bin1000111011111000001100
311102000012000
420323320030
51044424122
6122112300
725624122
oct10737014
94360160
102342412
11135a986
1294b690
13640257
1444d912
153140ac
hex23be0c

2342412 has 72 divisors (see below), whose sum is σ = 6503280. Its totient is φ = 728640.

The previous prime is 2342407. The next prime is 2342419. The reversal of 2342412 is 2142432.

2342412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 29 + 311 + 42 + 211 + 48 + 1 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2342419) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 57112 + ... + 57152.

22342412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251640).

2342412 is an abundant number, since it is smaller than the sum of its proper divisors (4160868).

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

2342412 is a wasteful number, since it uses less digits than its factorization.

2342412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2342412 is about 1530.4940378845. The cubic root of 2342412 is about 132.8070392311.

Adding to 2342412 its reverse (2142432), we get a palindrome (4484844).

It can be divided in two parts, 23424 and 12, that added together give a triangular number (23436 = T216).

The spelling of 2342412 in words is "two million, three hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 41 46 54 69 82 92 108 123 138 164 207 246 276 369 414 492 529 621 738 828 943 1058 1107 1242 1476 1587 1886 2116 2214 2484 2829 3174 3772 4428 4761 5658 6348 8487 9522 11316 14283 16974 19044 21689 25461 28566 33948 43378 50922 57132 65067 86756 101844 130134 195201 260268 390402 585603 780804 1171206 2342412