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350442512 = 24721972269
BaseRepresentation
bin10100111000110…
…101010000010000
3220102102022202022
4110320311100100
51204203130022
654435111012
711453466200
oct2470652020
9812368668
10350442512
1116a8a7712
1299442468
13577ac744
1434784400
1520b74c42
hex14e35410

350442512 has 60 divisors (see below), whose sum is σ = 794195820. Its totient is φ = 149361408.

The previous prime is 350442511. The next prime is 350442523. The reversal of 350442512 is 215244053.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 186704896 + 163737616 = 13664^2 + 12796^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350442511) 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 11 ways as a sum of consecutive naturals, for example, 153314 + ... + 155582.

It is an arithmetic number, because the mean of its divisors is an integer number (13236597).

Almost surely, 2350442512 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 350442512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397097910).

350442512 is an abundant number, since it is smaller than the sum of its proper divisors (443753308).

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

350442512 is a wasteful number, since it uses less digits than its factorization.

350442512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 350442512 is about 18720.1098287377. The cubic root of 350442512 is about 705.0267494838.

Adding to 350442512 its reverse (215244053), we get a palindrome (565686565).

The spelling of 350442512 in words is "three hundred fifty million, four hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 197 392 394 784 788 1379 1576 2269 2758 3152 4538 5516 9076 9653 11032 15883 18152 19306 22064 31766 36304 38612 63532 77224 111181 127064 154448 222362 254128 444724 446993 889448 893986 1778896 1787972 3128951 3575944 6257902 7151888 12515804 21902657 25031608 43805314 50063216 87610628 175221256 350442512