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3085402320 = 24335711131427
BaseRepresentation
bin1011011111100111…
…1000000011010000
321222000201200022000
42313321320003100
522304330333240
61230054514000
7136313326020
oct26771700320
97860650260
103085402320
1113436a1480
12721365900
133a22b6860
14213ab7a80
15130d13430
hexb7e780d0

3085402320 has 640 divisors, whose sum is σ = 14279086080. Its totient is φ = 591390720.

The previous prime is 3085402303. The next prime is 3085402337. The reversal of 3085402320 is 232045803.

3085402320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3085402303) and next prime (3085402337).

It is a super-2 number, since 2×30854023202 = 19039414952522764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 2161447 + ... + 2162873.

It is an arithmetic number, because the mean of its divisors is an integer number (22311072).

Almost surely, 23085402320 is an apocalyptic number.

3085402320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3085402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7139543040).

3085402320 is an abundant number, since it is smaller than the sum of its proper divisors (11193683760).

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

3085402320 is a wasteful number, since it uses less digits than its factorization.

3085402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3085402320 is about 55546.3979030144. The cubic root of 3085402320 is about 1455.8074379039.

The spelling of 3085402320 in words is "three billion, eighty-five million, four hundred two thousand, three hundred twenty".