Search a number
-
+
904368 = 24383227
BaseRepresentation
bin11011100110010110000
31200221120010
43130302300
5212414433
631214520
710454433
oct3346260
91627503
10904368
11568513
12377440
1325883a
1419781a
1512ce63
hexdccb0

904368 has 40 divisors (see below), whose sum is σ = 2374848. Its totient is φ = 296512.

The previous prime is 904361. The next prime is 904369. The reversal of 904368 is 863409.

904368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (904361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3871 + ... + 4097.

2904368 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 904368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187424).

904368 is an abundant number, since it is smaller than the sum of its proper divisors (1470480).

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

904368 is a wasteful number, since it uses less digits than its factorization.

904368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 904368 is about 950.9826496840. The cubic root of 904368 is about 96.7048811784.

The spelling of 904368 in words is "nine hundred four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 227 249 332 454 498 664 681 908 996 1328 1362 1816 1992 2724 3632 3984 5448 10896 18841 37682 56523 75364 113046 150728 226092 301456 452184 904368