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338208752 = 2473019721
BaseRepresentation
bin10100001010001…
…010011111110000
3212120101210012002
4110022022133300
51143040140002
653320553132
711244504230
oct2412123760
9776353162
10338208752
11163a01272
12953227a8
13550b822b
1432cbbcc0
151ea5a002
hex1428a7f0

338208752 has 20 divisors (see below), whose sum is σ = 748891056. Its totient is φ = 144946560.

The previous prime is 338208751. The next prime is 338208763. The reversal of 338208752 is 257802833.

338208752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3382087522 = 228770319858795008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338208751) 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 3 ways as a sum of consecutive naturals, for example, 1509749 + ... + 1509972.

Almost surely, 2338208752 is an apocalyptic number.

It is an amenable number.

338208752 is an abundant number, since it is smaller than the sum of its proper divisors (410682304).

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

338208752 is a wasteful number, since it uses less digits than its factorization.

338208752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019736 (or 3019730 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 338208752 is about 18390.4527404847. The cubic root of 338208752 is about 696.7253524835.

The spelling of 338208752 in words is "three hundred thirty-eight million, two hundred eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 3019721 6039442 12078884 21138047 24157768 42276094 48315536 84552188 169104376 338208752