Search a number
-
+
338465088 = 26331321961
BaseRepresentation
bin10100001011001…
…001000101000000
3212120212210211000
4110023021011000
51143121340323
653330252000
711246622453
oct2413110500
9776783730
10338465088
11164066915
1295427000
1355177b00
1432d4749a
151eaaae43
hex142c9140

338465088 has 336 divisors, whose sum is σ = 1152753600. Its totient is φ = 97044480.

The previous prime is 338465081. The next prime is 338465111. The reversal of 338465088 is 880564833.

It is a super-2 number, since 2×3384650882 = 229117231589695488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338465081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5548578 + ... + 5548638.

Almost surely, 2338465088 is an apocalyptic number.

338465088 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338465088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576376800).

338465088 is an abundant number, since it is smaller than the sum of its proper divisors (814288512).

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

338465088 is a wasteful number, since it uses less digits than its factorization.

338465088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 338465088 is about 18397.4206887813. The cubic root of 338465088 is about 696.9013292900.

The spelling of 338465088 in words is "three hundred thirty-eight million, four hundred sixty-five thousand, eighty-eight".