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338905088 = 2111271303
BaseRepresentation
bin10100001100110…
…100100000000000
3212121201011101022
4110030310200000
51143224430323
653343525012
711253434324
oct2414644000
9777634338
10338905088
11164337455
12955b9768
13552a0172
143301d984
151eb464c8
hex14334800

338905088 has 48 divisors (see below), whose sum is σ = 683504640. Its totient is φ = 167989248.

The previous prime is 338905087. The next prime is 338905093. The reversal of 338905088 is 880509833.

It is a super-2 number, since 2×3389050882 = 229713317344575488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338905087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 259445 + ... + 260747.

It is an arithmetic number, because the mean of its divisors is an integer number (14239680).

Almost surely, 2338905088 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 338905088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341752320).

338905088 is an abundant number, since it is smaller than the sum of its proper divisors (344599552).

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

338905088 is a wasteful number, since it uses less digits than its factorization.

338905088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 338905088 is about 18409.3750029706. The cubic root of 338905088 is about 697.2031859336.

The spelling of 338905088 in words is "three hundred thirty-eight million, nine hundred five thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 1024 1303 2032 2048 2606 4064 5212 8128 10424 16256 20848 32512 41696 65024 83392 130048 165481 166784 260096 330962 333568 661924 667136 1323848 1334272 2647696 2668544 5295392 10590784 21181568 42363136 84726272 169452544 338905088