Search a number
-
+
350244252 = 2232192917657
BaseRepresentation
bin10100111000000…
…100110110011100
3220102001020210100
4110320010312130
51204130304002
654430541100
711452012161
oct2470046634
9812036710
10350244252
1116a781766
1299367790
1357740427
1434732068
1520b3611c
hex14e04d9c

350244252 has 72 divisors (see below), whose sum is σ = 964126800. Its totient is φ = 106783488.

The previous prime is 350244247. The next prime is 350244269. The reversal of 350244252 is 252442053.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11008 + ... + 28664.

It is an arithmetic number, because the mean of its divisors is an integer number (13390650).

Almost surely, 2350244252 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 350244252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482063400).

350244252 is an abundant number, since it is smaller than the sum of its proper divisors (613882548).

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

350244252 is a wasteful number, since it uses less digits than its factorization.

350244252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17715 (or 17710 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 350244252 is about 18714.8137046565. The cubic root of 350244252 is about 704.8937700208.

The spelling of 350244252 in words is "three hundred fifty million, two hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1044 1102 1653 2204 3306 4959 6612 9918 17657 19836 35314 52971 70628 105942 158913 211884 317826 335483 512053 635652 670966 1006449 1024106 1341932 1536159 2012898 2048212 3019347 3072318 4025796 4608477 6038694 6144636 9216954 9729007 12077388 18433908 19458014 29187021 38916028 58374042 87561063 116748084 175122126 350244252