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350424144 = 24347192107
BaseRepresentation
bin10100111000110…
…000110001010000
3220102101101120000
4110320300301100
51204202033034
654434450000
711453361510
oct2470606120
9812341500
10350424144
1116a894934
1299433900
13577a4285
143477b840
1520b6e599
hex14e30c50

350424144 has 300 divisors, whose sum is σ = 1234769184. Its totient is φ = 93965184.

The previous prime is 350424133. The next prime is 350424169. The reversal of 350424144 is 441424053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 3274939 + ... + 3275045.

Almost surely, 2350424144 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 350424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617384592).

350424144 is an abundant number, since it is smaller than the sum of its proper divisors (884345040).

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

350424144 is a wasteful number, since it uses less digits than its factorization.

350424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 138 counting only the distinct ones).

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

The square root of 350424144 is about 18719.6192268967. The cubic root of 350424144 is about 705.0144315742.

Adding to 350424144 its reverse (441424053), we get a palindrome (791848197).

Subtracting 350424144 from its reverse (441424053), we obtain a palindrome (90999909).

The spelling of 350424144 in words is "three hundred fifty million, four hundred twenty-four thousand, one hundred forty-four".