Search a number
-
+
342724096 = 29111331151
BaseRepresentation
bin10100011011011…
…000111000000000
3212212220012002001
4110123120320000
51200214132341
654001433344
711331051421
oct2433307000
9785805061
10342724096
11166505760
129693b854
1356009530
1433735648
152014cd31
hex146d8e00

342724096 has 160 divisors (see below), whose sum is σ = 835946496. Its totient is φ = 138240000.

The previous prime is 342724093. The next prime is 342724139. The reversal of 342724096 is 690427243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342724093) 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 15 ways as a sum of consecutive naturals, for example, 2269621 + ... + 2269771.

Almost surely, 2342724096 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 342724096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417973248).

342724096 is an abundant number, since it is smaller than the sum of its proper divisors (493222400).

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

342724096 is a wasteful number, since it uses less digits than its factorization.

342724096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 342724096 is about 18512.8089710881. The cubic root of 342724096 is about 699.8122598566.

The spelling of 342724096 in words is "three hundred forty-two million, seven hundred twenty-four thousand, ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 64 88 104 124 128 143 151 176 208 248 256 286 302 341 352 403 416 496 512 572 604 682 704 806 832 992 1144 1208 1364 1408 1612 1661 1664 1963 1984 2288 2416 2728 2816 3224 3322 3328 3926 3968 4433 4576 4681 4832 5456 5632 6448 6644 6656 7852 7936 8866 9152 9362 9664 10912 12896 13288 15704 15872 17732 18304 18724 19328 21593 21824 25792 26576 31408 35464 36608 37448 38656 43186 43648 51491 51584 53152 60853 62816 70928 73216 74896 77312 86372 87296 102982 103168 106304 121706 125632 141856 149792 172744 174592 205964 206336 212608 243412 251264 283712 299584 345488 411928 425216 486824 502528 567424 599168 669383 690976 823856 850432 973648 1005056 1134848 1198336 1338766 1381952 1647712 1947296 2269696 2396672 2677532 2763904 3295424 3894592 5355064 5527808 6590848 7789184 10710128 11055616 13181696 15578368 21420256 26363392 31156736 42840512 85681024 171362048 342724096