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334303216 = 24137122637
BaseRepresentation
bin10011111011010…
…000111111110000
3212022001100210121
4103323100333300
51141040200331
653101140024
711166346642
oct2373207760
9768040717
10334303216
11161783a55
1293b5a614
135434b670
1432582892
151e537c11
hex13ed0ff0

334303216 has 40 divisors (see below), whose sum is σ = 707392224. Its totient is φ = 152113920.

The previous prime is 334303087. The next prime is 334303219. The reversal of 334303216 is 612303433.

334303216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3343032162 = 223517280455885312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334303219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3450 + ... + 26086.

Almost surely, 2334303216 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 334303216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353696112).

334303216 is an abundant number, since it is smaller than the sum of its proper divisors (373089008).

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

334303216 is a wasteful number, since it uses less digits than its factorization.

334303216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22729 (or 22723 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 334303216 is about 18283.9606212658. The cubic root of 334303216 is about 694.0331022588.

Adding to 334303216 its reverse (612303433), we get a palindrome (946606649).

The spelling of 334303216 in words is "three hundred thirty-four million, three hundred three thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 208 284 568 923 1136 1846 3692 7384 14768 22637 45274 90548 181096 294281 362192 588562 1177124 1607227 2354248 3214454 4708496 6428908 12857816 20893951 25715632 41787902 83575804 167151608 334303216