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38333331 = 342916319
BaseRepresentation
bin1001001000111…
…0101110010011
32200010112110000
42102032232103
534303131311
63445341043
7643553661
oct222165623
980115400
1038333331
111a702443
1210a07783
137c3205a
14513bc31
153573056
hex248eb93

38333331 has 20 divisors (see below), whose sum is σ = 59241600. Its totient is φ = 24672816.

The previous prime is 38333291. The next prime is 38333353. The reversal of 38333331 is 13333383.

38333331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38333331 - 214 = 38316947 is a prime.

It is a super-2 number, since 2×383333312 = 2938888531111122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 38333295 and 38333304.

It is not an unprimeable number, because it can be changed into a prime (38333381) 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 19 ways as a sum of consecutive naturals, for example, 5811 + ... + 10508.

It is an arithmetic number, because the mean of its divisors is an integer number (2962080).

Almost surely, 238333331 is an apocalyptic number.

38333331 is a deficient number, since it is larger than the sum of its proper divisors (20908269).

38333331 is a wasteful number, since it uses less digits than its factorization.

38333331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16360 (or 16351 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 38333331 is about 6191.3916852352. The cubic root of 38333331 is about 337.1777071419.

The spelling of 38333331 in words is "thirty-eight million, three hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 27 29 81 87 261 783 2349 16319 48957 146871 440613 473251 1321839 1419753 4259259 12777777 38333331