Search a number
-
+
2310320096 = 25714969221
BaseRepresentation
bin1000100110110100…
…1010111111100000
312222000021102100222
42021231022333200
514212420220341
61021130102212
7111152253050
oct21155127740
95860242328
102310320096
11a8612a757
1254587a968
132aa849616
1417cb97560
15d7c5e44b
hex89b4afe0

2310320096 has 48 divisors (see below), whose sum is σ = 5233183200. Its totient is φ = 983477760.

The previous prime is 2310320069. The next prime is 2310320099. The reversal of 2310320096 is 6900230132.

2310320096 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 (2310320099) 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, 1235 + ... + 67986.

It is an arithmetic number, because the mean of its divisors is an integer number (109024650).

Almost surely, 22310320096 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 2310320096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616591600).

2310320096 is an abundant number, since it is smaller than the sum of its proper divisors (2922863104).

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

2310320096 is a wasteful number, since it uses less digits than its factorization.

2310320096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69387 (or 69379 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 2310320096 is about 48065.7892476551. The cubic root of 2310320096 is about 1321.9774646496.

The spelling of 2310320096 in words is "two billion, three hundred ten million, three hundred twenty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 149 224 298 596 1043 1192 2086 2384 4172 4768 8344 16688 33376 69221 138442 276884 484547 553768 969094 1107536 1938188 2215072 3876376 7752752 10313929 15505504 20627858 41255716 72197503 82511432 144395006 165022864 288790012 330045728 577580024 1155160048 2310320096