Search a number
-
+
38734300 = 225211231531
BaseRepresentation
bin1001001111000…
…0100111011100
32200212220110201
42103300213130
534403444200
63502113244
7650143663
oct223604734
980786421
1038734300
111a956720
1210b7b824
138042707
145203dda
153601c6a
hex24f09dc

38734300 has 72 divisors (see below), whose sum is σ = 95743872. Its totient is φ = 13464000.

The previous prime is 38734273. The next prime is 38734303. The reversal of 38734300 is 343783.

38734300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38734303) 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 23 ways as a sum of consecutive naturals, for example, 24535 + ... + 26065.

It is an arithmetic number, because the mean of its divisors is an integer number (1329776).

Almost surely, 238734300 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 38734300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47871936).

38734300 is an abundant number, since it is smaller than the sum of its proper divisors (57009572).

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

38734300 is a wasteful number, since it uses less digits than its factorization.

38734300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 38734300 is about 6223.6886168895. The cubic root of 38734300 is about 338.3492649172.

The spelling of 38734300 in words is "thirty-eight million, seven hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 1531 2300 2530 3062 5060 6124 6325 7655 12650 15310 16841 25300 30620 33682 35213 38275 67364 70426 76550 84205 140852 153100 168410 176065 336820 352130 387343 421025 704260 774686 842050 880325 1549372 1684100 1760650 1936715 3521300 3873430 7746860 9683575 19367150 38734300