Search a number
-
+
2334332 = 2271121353
BaseRepresentation
bin1000111001111001111100
311101121002202
420321321330
51044144312
6122011032
725561430
oct10717174
94347082
102334332
111354900
12946a78
13639680
1444a9c0
153119c2
hex239e7c

2334332 has 72 divisors (see below), whose sum is σ = 5630688. Its totient is φ = 823680.

The previous prime is 2334329. The next prime is 2334337.

2334332 is nontrivially palindromic in base 10.

It is an Ulam number.

It is a d-powerful number, because it can be written as 23 + 35 + 36 + 4 + 310 + 311 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334337) 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 23 ways as a sum of consecutive naturals, for example, 44018 + ... + 44070.

It is an arithmetic number, because the mean of its divisors is an integer number (78204).

22334332 is an apocalyptic number.

2334332 is a gapful number since it is divisible by the number (22) 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 2334332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815344).

2334332 is an abundant number, since it is smaller than the sum of its proper divisors (3296356).

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

2334332 is a wasteful number, since it uses less digits than its factorization.

2334332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its digits is 1296, while the sum is 20.

The square root of 2334332 is about 1527.8520870817. The cubic root of 2334332 is about 132.6541601918.

The spelling of 2334332 in words is "two million, three hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 53 77 91 106 121 143 154 182 212 242 286 308 364 371 484 572 583 689 742 847 1001 1166 1378 1484 1573 1694 2002 2332 2756 3146 3388 4004 4081 4823 6292 6413 7579 8162 9646 11011 12826 15158 16324 19292 22022 25652 30316 44044 44891 53053 83369 89782 106106 166738 179564 212212 333476 583583 1167166 2334332