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338412096 = 26321153411
BaseRepresentation
bin10100001010111…
…100001001000000
3212120210010010100
4110022330021000
51143113141341
653325202400
711246312121
oct2412741100
9776703110
10338412096
11164030020
1295400400
1355159959
1432d32048
151ea9a3b6
hex142bc240

338412096 has 84 divisors (see below), whose sum is σ = 1058198544. Its totient is φ = 102547200.

The previous prime is 338412091. The next prime is 338412103. The reversal of 338412096 is 690214833.

It is a super-2 number, since 2×3384120962 = 229045493438226432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 338412096.

It is not an unprimeable number, because it can be changed into a prime (338412091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20370 + ... + 33041.

Almost surely, 2338412096 is an apocalyptic number.

338412096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

338412096 is an abundant number, since it is smaller than the sum of its proper divisors (719786448).

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

338412096 is a wasteful number, since it uses less digits than its factorization.

338412096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53440 (or 53427 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 338412096 is about 18395.9804305180. The cubic root of 338412096 is about 696.8649571263.

It can be divided in two parts, 33841 and 2096, that added together give a cube (35937 = 333).

The spelling of 338412096 in words is "three hundred thirty-eight million, four hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 53411 106822 160233 213644 320466 427288 480699 587521 640932 854576 961398 1175042 1281864 1709152 1762563 1922796 2350084 2563728 3418304 3525126 3845592 4700168 5127456 5287689 7050252 7691184 9400336 10254912 10575378 14100504 15382368 18800672 21150756 28201008 30764736 37601344 42301512 56402016 84603024 112804032 169206048 338412096