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38034288 = 2432264127
BaseRepresentation
bin1001000100010…
…1101101110000
32122120100020100
42101011231300
534214044123
63435112400
7641200065
oct221055560
978510210
1038034288
111a5187a6
12108a2700
137b58bc6
1450a0c6c
153514643
hex2445b70

38034288 has 30 divisors (see below), whose sum is σ = 106443584. Its totient is φ = 12678048.

The previous prime is 38034263. The next prime is 38034289. The reversal of 38034288 is 88243083.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38034289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131920 + ... + 132207.

Almost surely, 238034288 is an apocalyptic number.

It is an amenable number.

38034288 is an abundant number, since it is smaller than the sum of its proper divisors (68409296).

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

38034288 is a wasteful number, since it uses less digits than its factorization.

38034288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264141 (or 264132 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 38034288 is about 6167.1944999327. The cubic root of 38034288 is about 336.2986290646.

The spelling of 38034288 in words is "thirty-eight million, thirty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 264127 528254 792381 1056508 1584762 2113016 2377143 3169524 4226032 4754286 6339048 9508572 12678096 19017144 38034288