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38329005 = 351113107167
BaseRepresentation
bin1001001000110…
…1101010101101
32200010022111210
42102031222231
534303012010
63445305033
7643535241
oct222155255
980108453
1038329005
111a6aa170
1210a05179
137c300b0
14513a421
153571b20
hex248daad

38329005 has 64 divisors (see below), whose sum is σ = 73156608. Its totient is φ = 16892160.

The previous prime is 38328977. The next prime is 38329009. The reversal of 38329005 is 50092383.

It is a happy number.

38329005 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 38329005 - 27 = 38328877 is a prime.

It is a super-2 number, since 2×383290052 = 2938225248580050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38329009) 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 63 ways as a sum of consecutive naturals, for example, 229432 + ... + 229598.

It is an arithmetic number, because the mean of its divisors is an integer number (1143072).

Almost surely, 238329005 is an apocalyptic number.

It is an amenable number.

38329005 is a deficient number, since it is larger than the sum of its proper divisors (34827603).

38329005 is a wasteful number, since it uses less digits than its factorization.

38329005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 38329005 is about 6191.0423193514. The cubic root of 38329005 is about 337.1650229182.

The spelling of 38329005 in words is "thirty-eight million, three hundred twenty-nine thousand, five".

Divisors: 1 3 5 11 13 15 33 39 55 65 107 143 165 167 195 321 429 501 535 715 835 1177 1391 1605 1837 2145 2171 2505 3531 4173 5511 5885 6513 6955 9185 10855 15301 17655 17869 20865 23881 27555 32565 45903 53607 71643 76505 89345 119405 196559 229515 232297 268035 358215 589677 696891 982795 1161485 2555267 2948385 3484455 7665801 12776335 38329005