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334500320 = 255711191429
BaseRepresentation
bin10011111100000…
…001000111100000
3212022102101011202
4103330001013200
51141113002240
653105300332
711201130410
oct2374010740
9768371152
10334500320
111618a9050
12940346a8
13543ba2ab
14325d4640
151e576315
hex13f011e0

334500320 has 192 divisors, whose sum is σ = 1037836800. Its totient is φ = 98703360.

The previous prime is 334500317. The next prime is 334500349. The reversal of 334500320 is 23005433.

It is a super-2 number, since 2×3345003202 = 223780928160204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 334500292 and 334500301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233366 + ... + 234794.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2334500320 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 334500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518918400).

334500320 is an abundant number, since it is smaller than the sum of its proper divisors (703336480).

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

334500320 is a wasteful number, since it uses less digits than its factorization.

334500320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 334500320 is about 18289.3499064346. The cubic root of 334500320 is about 694.1694752858.

Adding to 334500320 its reverse (23005433), we get a palindrome (357505753).

The spelling of 334500320 in words is "three hundred thirty-four million, five hundred thousand, three hundred twenty".