Search a number
-
+
334122404 = 227112714003
BaseRepresentation
bin10011111010100…
…100110110100100
3212021201011202212
4103322210312210
51141013404104
653053222552
711164664540
oct2372446644
9767634685
10334122404
11161670120
1293a91a58
13542b7285
1432536a20
151e4ee36e
hex13ea4da4

334122404 has 48 divisors (see below), whose sum is σ = 731867136. Its totient is φ = 129664800.

The previous prime is 334122343. The next prime is 334122409. The reversal of 334122404 is 404221433.

It is a super-2 number, since 2×3341224042 = 223275561709478432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334122404.

It is not an unprimeable number, because it can be changed into a prime (334122409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81467 + ... + 85469.

It is an arithmetic number, because the mean of its divisors is an integer number (15247232).

Almost surely, 2334122404 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 334122404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365933568).

334122404 is an abundant number, since it is smaller than the sum of its proper divisors (397744732).

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

334122404 is a wasteful number, since it uses less digits than its factorization.

334122404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 334122404 is about 18279.0154001795. The cubic root of 334122404 is about 693.9079542512.

Adding to 334122404 its reverse (404221433), we get a palindrome (738343837).

The spelling of 334122404 in words is "three hundred thirty-four million, one hundred twenty-two thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 271 308 542 1084 1897 2981 3794 4003 5962 7588 8006 11924 16012 20867 28021 41734 44033 56042 83468 88066 112084 176132 308231 616462 1084813 1232924 2169626 4339252 7593691 11932943 15187382 23865886 30374764 47731772 83530601 167061202 334122404