Search a number
-
+
945384804 = 22337132931107
BaseRepresentation
bin111000010110010…
…110110101100100
32102212220112011000
4320112112311210
53414004303204
6233450513300
732266431630
oct7026266544
92385815130
10945384804
11445710661
12224735830
13120b271c0
148d7b1dc0
1557ee4039
hex38596d64

945384804 has 384 divisors, whose sum is σ = 3251404800. Its totient is φ = 230791680.

The previous prime is 945384793. The next prime is 945384859. The reversal of 945384804 is 408483549.

It is a happy number.

945384804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 945384804.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8835319 + ... + 8835425.

It is an arithmetic number, because the mean of its divisors is an integer number (8467200).

Almost surely, 2945384804 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 945384804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625702400).

945384804 is an abundant number, since it is smaller than the sum of its proper divisors (2306019996).

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

945384804 is a wasteful number, since it uses less digits than its factorization.

945384804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 945384804 is about 30747.1104983867. The cubic root of 945384804 is about 981.4530728014.

The spelling of 945384804 in words is "nine hundred forty-five million, three hundred eighty-four thousand, eight hundred four".