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338390076 = 2231923173373
BaseRepresentation
bin10100001010110…
…110110000111100
3212120201222220210
4110022312300330
51143111440301
653324512420
711246160663
oct2412666074
9776658823
10338390076
11164015522
12953ab710
135514c91b
1432d27dda
151ea93ad6
hex142b6c3c

338390076 has 96 divisors (see below), whose sum is σ = 874621440. Its totient is φ = 101350656.

The previous prime is 338390071. The next prime is 338390077. The reversal of 338390076 is 670093833.

It is a super-2 number, since 2×3383900762 = 229015687070571552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338390071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907026 + ... + 907398.

It is an arithmetic number, because the mean of its divisors is an integer number (9110640).

Almost surely, 2338390076 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 338390076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437310720).

338390076 is an abundant number, since it is smaller than the sum of its proper divisors (536231364).

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

338390076 is a wasteful number, since it uses less digits than its factorization.

338390076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 338390076 is about 18395.3819204712. The cubic root of 338390076 is about 696.8498421237.

The spelling of 338390076 in words is "three hundred thirty-eight million, three hundred ninety thousand, seventy-six".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 173 228 276 346 373 437 519 692 746 874 1038 1119 1311 1492 1748 2076 2238 2622 3287 3979 4476 5244 6574 7087 7958 8579 9861 11937 13148 14174 15916 17158 19722 21261 23874 25737 28348 34316 39444 42522 47748 51474 64529 75601 85044 102948 129058 151202 163001 193587 226803 258116 302404 326002 387174 453606 489003 652004 774348 907212 978006 1226051 1484167 1956012 2452102 2968334 3678153 4452501 4904204 5936668 7356306 8905002 14712612 17810004 28199173 56398346 84597519 112796692 169195038 338390076