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338814112 = 25713116351
BaseRepresentation
bin10100001100011…
…110010010100000
3212121112112120211
4110030132102200
51143214022422
653341543504
711252605150
oct2414362240
9777475524
10338814112
1116428506a
1295574b94
135526a930
1432dd8760
151eb29577
hex1431e4a0

338814112 has 48 divisors (see below), whose sum is σ = 820979712. Its totient is φ = 134035200.

The previous prime is 338814101. The next prime is 338814169. The reversal of 338814112 is 211418833.

It is a super-2 number, since 2×3388141122 = 229590004980697088, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55264 + ... + 61087.

It is an arithmetic number, because the mean of its divisors is an integer number (17103744).

Almost surely, 2338814112 is an apocalyptic number.

338814112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

338814112 is an abundant number, since it is smaller than the sum of its proper divisors (482165600).

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

338814112 is a wasteful number, since it uses less digits than its factorization.

338814112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116381 (or 116373 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 338814112 is about 18406.9039221701. The cubic root of 338814112 is about 697.1407943912.

The spelling of 338814112 in words is "three hundred thirty-eight million, eight hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 116351 232702 465404 814457 930808 1512563 1628914 1861616 3025126 3257828 3723232 6050252 6515656 10587941 12100504 13031312 21175882 24201008 26062624 42351764 48402016 84703528 169407056 338814112