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38404233 = 337317641
BaseRepresentation
bin1001001010000…
…0000010001001
32200021010201000
42102200002021
534312413413
63451045213
7644300460
oct222400211
980233630
1038404233
111a75073a
1210a40809
137c583ca
1451599d7
153589073
hex24a0089

38404233 has 32 divisors (see below), whose sum is σ = 65329920. Its totient is φ = 21841920.

The previous prime is 38404231. The next prime is 38404237. The reversal of 38404233 is 33240483.

It is not a de Polignac number, because 38404233 - 21 = 38404231 is a prime.

It is a super-2 number, since 2×384042332 = 2949770224636578, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 38404197 and 38404206.

It is not an unprimeable number, because it can be changed into a prime (38404231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59593 + ... + 60233.

It is an arithmetic number, because the mean of its divisors is an integer number (2041560).

Almost surely, 238404233 is an apocalyptic number.

It is an amenable number.

38404233 is a deficient number, since it is larger than the sum of its proper divisors (26925687).

38404233 is a wasteful number, since it uses less digits than its factorization.

38404233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 38404233 is about 6197.1148932386. The cubic root of 38404233 is about 337.3854623682.

The spelling of 38404233 in words is "thirty-eight million, four hundred four thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 189 317 641 951 1923 2219 2853 4487 5769 6657 8559 13461 17307 19971 40383 59913 121149 203197 609591 1422379 1828773 4267137 5486319 12801411 38404233