Search a number
-
+
290134784 = 2817163409
BaseRepresentation
bin10001010010110…
…001101100000000
3202012221101002202
4101102301230000
51043233303114
644442332332
710122051002
oct2122615400
9665841082
10290134784
11139856615
12811ba0a8
13481556b4
142a766372
151a710cde
hex114b1b00

290134784 has 72 divisors (see below), whose sum is σ = 618473520. Its totient is φ = 135364608.

The previous prime is 290134781. The next prime is 290134799. The reversal of 290134784 is 487431092.

It is not an unprimeable number, because it can be changed into a prime (290134781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 709172 + ... + 709580.

It is an arithmetic number, because the mean of its divisors is an integer number (8589910).

Almost surely, 2290134784 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 290134784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309236760).

290134784 is an abundant number, since it is smaller than the sum of its proper divisors (328338736).

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

290134784 is a wasteful number, since it uses less digits than its factorization.

290134784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 290134784 is about 17033.3433007146. The cubic root of 290134784 is about 662.0131248482.

The spelling of 290134784 in words is "two hundred ninety million, one hundred thirty-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 163 256 272 326 409 544 652 818 1088 1304 1636 2176 2608 2771 3272 4352 5216 5542 6544 6953 10432 11084 13088 13906 20864 22168 26176 27812 41728 44336 52352 55624 66667 88672 104704 111248 133334 177344 222496 266668 354688 444992 533336 709376 889984 1066672 1133339 1779968 2133344 2266678 4266688 4533356 8533376 9066712 17066752 18133424 36266848 72533696 145067392 290134784