Search a number
-
+
350030320 = 24543971049
BaseRepresentation
bin10100110111010…
…000100111110000
3220101122101022221
4110313100213300
51204101432240
654422210424
711450131363
oct2467204760
9811571287
10350030320
1116a645a62
1299283a14
1357696c43
14346b80da
1520ae2a4a
hex14dd09f0

350030320 has 80 divisors (see below), whose sum is σ = 842133600. Its totient is φ = 135217152.

The previous prime is 350030309. The next prime is 350030327. The reversal of 350030320 is 23030053.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 350030294 and 350030303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350030327) 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, 333156 + ... + 334204.

It is an arithmetic number, because the mean of its divisors is an integer number (10526670).

Almost surely, 2350030320 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 350030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421066800).

350030320 is an abundant number, since it is smaller than the sum of its proper divisors (492103280).

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

350030320 is a wasteful number, since it uses less digits than its factorization.

350030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 16.

The square root of 350030320 is about 18709.0972524064. The cubic root of 350030320 is about 704.7502225329.

Adding to 350030320 its reverse (23030053), we get a palindrome (373060373).

The spelling of 350030320 in words is "three hundred fifty million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 97 172 194 215 344 388 430 485 688 776 860 970 1049 1552 1720 1940 2098 3440 3880 4171 4196 5245 7760 8342 8392 10490 16684 16784 20855 20980 33368 41710 41960 45107 66736 83420 83920 90214 101753 166840 180428 203506 225535 333680 360856 407012 451070 508765 721712 814024 902140 1017530 1628048 1804280 2035060 3608560 4070120 4375379 8140240 8750758 17501516 21876895 35003032 43753790 70006064 87507580 175015160 350030320