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338429952 = 2113274361
BaseRepresentation
bin10100001011000…
…000100000000000
3212120211000121200
4110023000200000
51143114224302
653325421200
711246415150
oct2413004000
9776730550
10338429952
11164042483
129540a800
1355164b13
1432d38760
151eaa081c
hex142c0800

338429952 has 288 divisors, whose sum is σ = 1161800640. Its totient is φ = 92897280.

The previous prime is 338429951. The next prime is 338429977. The reversal of 338429952 is 259924833.

It is a happy number.

338429952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3384299522 = 229069664821444608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338429898 and 338429907.

It is not an unprimeable number, because it can be changed into a prime (338429951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5548002 + ... + 5548062.

It is an arithmetic number, because the mean of its divisors is an integer number (4034030).

Almost surely, 2338429952 is an apocalyptic number.

338429952 is a gapful number since it is divisible by the number (32) 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 338429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580900320).

338429952 is an abundant number, since it is smaller than the sum of its proper divisors (823370688).

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

338429952 is a wasteful number, since it uses less digits than its factorization.

338429952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 338429952 is about 18396.4657475288. The cubic root of 338429952 is about 696.8772133882.

The spelling of 338429952 in words is "three hundred thirty-eight million, four hundred twenty-nine thousand, nine hundred fifty-two".