Search a number
-
+
334314416 = 24314211601
BaseRepresentation
bin10011111011010…
…011101110110000
3212022001221011102
4103323103232300
51141041030131
653101303532
711166424412
oct2373235660
9768057142
10334314416
11161791407
1293b64ba8
13543537a7
14325869b2
151e53b1cb
hex13ed3bb0

334314416 has 40 divisors (see below), whose sum is σ = 670635648. Its totient is φ = 161280000.

The previous prime is 334314403. The next prime is 334314433. The reversal of 334314416 is 614413433.

It is a super-2 number, since 2×3343144162 = 223532257490842112, which contains 22 as substring.

It is an unprimeable number.

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, 208016 + ... + 209616.

Almost surely, 2334314416 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 334314416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335317824).

334314416 is an abundant number, since it is smaller than the sum of its proper divisors (336321232).

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

334314416 is a wasteful number, since it uses less digits than its factorization.

334314416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2055 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 334314416 is about 18284.2668980739. The cubic root of 334314416 is about 694.0408527914.

Adding to 334314416 its reverse (614413433), we get a palindrome (948727849).

The spelling of 334314416 in words is "three hundred thirty-four million, three hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 62 124 248 421 496 842 1601 1684 3202 3368 6404 6736 12808 13051 25616 26102 49631 52204 99262 104408 198524 208816 397048 674021 794096 1348042 2696084 5392168 10784336 20894651 41789302 83578604 167157208 334314416