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349212024 = 233272312103
BaseRepresentation
bin10100110100001…
…000110101111000
3220100002210211200
4110310020311320
51203344241044
654352454200
711440152600
oct2464106570
9810083750
10349212024
1116a137187
1298b4a360
135746b645
1434543c00
15209d0369
hex14d08d78

349212024 has 216 divisors, whose sum is σ = 1147868280. Its totient is φ = 95618880.

The previous prime is 349212023. The next prime is 349212037. The reversal of 349212024 is 420212943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349212023) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 3390357 + ... + 3390459.

It is an arithmetic number, because the mean of its divisors is an integer number (5314205).

Almost surely, 2349212024 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 349212024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573934140).

349212024 is an abundant number, since it is smaller than the sum of its proper divisors (798656256).

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

349212024 is a wasteful number, since it uses less digits than its factorization.

349212024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 349212024 is about 18687.2155229183. The cubic root of 349212024 is about 704.2006089370.

Adding to 349212024 its reverse (420212943), we get a palindrome (769424967).

The spelling of 349212024 in words is "three hundred forty-nine million, two hundred twelve thousand, twenty-four".