[go: up one dir, main page]

Search a number
-
+
350033124 = 223719713089
BaseRepresentation
bin10100110111010…
…001010011100100
3220101122112011210
4110313101103210
51204102024444
654422231420
711450142510
oct2467212344
9811575153
10350033124
1116a648081
1299285570
13576982bc
14346b9140
1520ae37b9
hex14dd14e4

350033124 has 96 divisors (see below), whose sum is σ = 996710400. Its totient is φ = 93381120.

The previous prime is 350033119. The next prime is 350033137. The reversal of 350033124 is 421330053.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 350033124.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111772 + ... + 114860.

It is an arithmetic number, because the mean of its divisors is an integer number (10382400).

Almost surely, 2350033124 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 350033124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498355200).

350033124 is an abundant number, since it is smaller than the sum of its proper divisors (646677276).

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

350033124 is a wasteful number, since it uses less digits than its factorization.

350033124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3193 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 350033124 is about 18709.1721890628. The cubic root of 350033124 is about 704.7521043836.

Adding to 350033124 its reverse (421330053), we get a palindrome (771363177).

The spelling of 350033124 in words is "three hundred fifty million, thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 71 76 84 114 133 142 213 228 266 284 399 426 497 532 798 852 994 1349 1491 1596 1988 2698 2982 3089 4047 5396 5964 6178 8094 9267 9443 12356 16188 18534 18886 21623 28329 37068 37772 43246 56658 58691 64869 86492 113316 117382 129738 176073 219319 234764 259476 352146 410837 438638 657957 704292 821674 877276 1232511 1315914 1535233 1643348 2465022 2631828 3070466 4167061 4605699 4930044 6140932 8334122 9211398 12501183 16668244 18422796 25002366 29169427 50004732 58338854 87508281 116677708 175016562 350033124