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38329290 = 23251313251
BaseRepresentation
bin1001001000110…
…1101111001010
32200010022220100
42102031233022
534303014130
63445310230
7643536126
oct222155712
980108810
1038329290
111a6aa3aa
1210a05376
137c3026c
14513a586
153571c60
hex248dbca

38329290 has 48 divisors (see below), whose sum is σ = 100447776. Its totient is φ = 10140000.

The previous prime is 38329253. The next prime is 38329351. The reversal of 38329290 is 9292383.

38329290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10165 + ... + 13415.

It is an arithmetic number, because the mean of its divisors is an integer number (2092662).

Almost surely, 238329290 is an apocalyptic number.

38329290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38329290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50223888).

38329290 is an abundant number, since it is smaller than the sum of its proper divisors (62118486).

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

38329290 is a wasteful number, since it uses less digits than its factorization.

38329290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 38329290 is about 6191.0653364344. The cubic root of 38329290 is about 337.1658585934.

The spelling of 38329290 in words is "thirty-eight million, three hundred twenty-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 3251 3930 5895 6502 9753 11790 16255 19506 29259 32510 48765 58518 97530 146295 292590 425881 851762 1277643 2129405 2555286 3832929 4258810 6388215 7665858 12776430 19164645 38329290