Search a number
-
+
350642130 = 23523613829
BaseRepresentation
bin10100111001100…
…101111111010010
3220102210110120120
4110321211333102
51204231022010
654443251110
711455260156
oct2471457722
9812713516
10350642130
1116aa23693
1299519a96
135784c567
14347d7066
1520bb3e70
hex14e65fd2

350642130 has 64 divisors (see below), whose sum is σ = 880623360. Its totient is φ = 89185536.

The previous prime is 350642129. The next prime is 350642189. The reversal of 350642130 is 31246053.

It is a happy number.

350642130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 350642130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422556 + ... + 423384.

It is an arithmetic number, because the mean of its divisors is an integer number (13759740).

Almost surely, 2350642130 is an apocalyptic number.

350642130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 350642130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440311680).

350642130 is an abundant number, since it is smaller than the sum of its proper divisors (529981230).

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

350642130 is a wasteful number, since it uses less digits than its factorization.

350642130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 350642130 is about 18725.4407157749. The cubic root of 350642130 is about 705.1605891403.

Adding to 350642130 its reverse (31246053), we get a palindrome (381888183).

The spelling of 350642130 in words is "three hundred fifty million, six hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 613 690 829 1226 1658 1839 2487 3065 3678 4145 4974 6130 8290 9195 12435 14099 18390 19067 24870 28198 38134 42297 57201 70495 84594 95335 114402 140990 190670 211485 286005 422970 508177 572010 1016354 1524531 2540885 3049062 5081770 7622655 11688071 15245310 23376142 35064213 58440355 70128426 116880710 175321065 350642130