Search a number
-
+
38270232 = 23347111359
BaseRepresentation
bin1001000111111…
…1010100011000
32200000022220000
42101333110120
534244121412
63444133000
7643202010
oct221772430
980008800
1038270232
111a669aa0
1210997160
137c0c410
145122c40
15355e4dc
hex247f518

38270232 has 320 divisors, whose sum is σ = 146361600. Its totient is φ = 9020160.

The previous prime is 38270231. The next prime is 38270257. The reversal of 38270232 is 23207283.

38270232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×382702322 = 2929221314667648, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 38270196 and 38270205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38270231) 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 79 ways as a sum of consecutive naturals, for example, 648619 + ... + 648677.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 238270232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38270232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73180800).

38270232 is an abundant number, since it is smaller than the sum of its proper divisors (108091368).

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

38270232 is a wasteful number, since it uses less digits than its factorization.

38270232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 38270232 is about 6186.2938824469. The cubic root of 38270232 is about 336.9926005179.

The spelling of 38270232 in words is "thirty-eight million, two hundred seventy thousand, two hundred thirty-two".