Search a number
-
+
955705344 = 21131179179
BaseRepresentation
bin111000111101101…
…110100000000000
32110121022212021020
4320331232200000
53424130032334
6234500025440
732453234646
oct7075564000
92417285236
10955705344
1145051a630
12228092280
13122ccb929
1490cdb196
1558d81e49
hex38f6e800

955705344 has 192 divisors, whose sum is σ = 2830464000. Its totient is φ = 284344320.

The previous prime is 955705343. The next prime is 955705393. The reversal of 955705344 is 443507559.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 955705296 and 955705305.

It is not an unprimeable number, because it can be changed into a prime (955705343) 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 15 ways as a sum of consecutive naturals, for example, 5339047 + ... + 5339225.

It is an arithmetic number, because the mean of its divisors is an integer number (14742000).

Almost surely, 2955705344 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 955705344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232000).

955705344 is an abundant number, since it is smaller than the sum of its proper divisors (1874758656).

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

955705344 is a wasteful number, since it uses less digits than its factorization.

955705344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The square root of 955705344 is about 30914.4843722162. The cubic root of 955705344 is about 985.0115844618.

The spelling of 955705344 in words is "nine hundred fifty-five million, seven hundred five thousand, three hundred forty-four".