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338290096 = 24532691483
BaseRepresentation
bin10100001010011…
…110010110110000
3212120112220202211
4110022132112300
51143100240341
653322421504
711245263334
oct2412362660
9776486684
10338290096
11163a573a1
1295361894
1355116271
1432cdd7c4
151ea74181
hex1429e5b0

338290096 has 40 divisors (see below), whose sum is σ = 670738320. Its totient is φ = 165225216.

The previous prime is 338290093. The next prime is 338290097. The reversal of 338290096 is 690092833.

It is a super-2 number, since 2×3382900962 = 228880378103378432, which contains 22 as substring.

Together with 332448224 it forms an amicable pair .

It is not an unprimeable number, because it can be changed into a prime (338290093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227371 + ... + 228853.

It is an arithmetic number, because the mean of its divisors is an integer number (16768458).

Almost surely, 2338290096 is an apocalyptic number.

It is an amenable number.

338290096 is a deficient number, since it is larger than the sum of its proper divisors (332448224).

338290096 is a wasteful number, since it uses less digits than its factorization.

338290096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 338290096 is about 18392.6641898339. The cubic root of 338290096 is about 696.7812054477.

The spelling of 338290096 in words is "three hundred thirty-eight million, two hundred ninety thousand, ninety-six".

Divisors: 1 2 4 8 16 53 106 212 269 424 538 848 1076 1483 2152 2966 4304 5932 11864 14257 23728 28514 57028 78599 114056 157198 228112 314396 398927 628792 797854 1257584 1595708 3191416 6382832 21143131 42286262 84572524 169145048 338290096