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350144442 = 232314314593
BaseRepresentation
bin10100110111101…
…100011110111010
3220101212011212200
4110313230132322
51204114110232
654424451030
711451115164
oct2467543672
9811764780
10350144442
1116a71377a
1299319a76
1357706b7b
1434707934
1520b1677c
hex14dec7ba

350144442 has 48 divisors (see below), whose sum is σ = 801385728. Its totient is φ = 110315520.

The previous prime is 350144441. The next prime is 350144467. The reversal of 350144442 is 244441053.

It is a happy number.

It is a super-2 number, since 2×3501444422 = 245202260526982728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (350144441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16698 + ... + 31290.

It is an arithmetic number, because the mean of its divisors is an integer number (16695536).

Almost surely, 2350144442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350144442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400692864).

350144442 is an abundant number, since it is smaller than the sum of its proper divisors (451241286).

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

350144442 is a wasteful number, since it uses less digits than its factorization.

350144442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14675 (or 14672 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 350144442 is about 18712.1469104964. The cubic root of 350144442 is about 704.8268051994.

Adding to 350144442 its reverse (244441053), we get a palindrome (594585495).

The spelling of 350144442 in words is "three hundred fifty million, one hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 31 43 62 86 93 129 186 258 279 387 558 774 1333 2666 3999 7998 11997 14593 23994 29186 43779 87558 131337 262674 452383 627499 904766 1254998 1357149 1882497 2714298 3764994 4071447 5647491 8142894 11294982 19452469 38904938 58357407 116714814 175072221 350144442