Search a number
-
+
3080226240 = 2632572132373
BaseRepresentation
bin1011011110011000…
…1000010111000000
321221122222201001100
42313212020113000
522302014214430
61225351534400
7136221330300
oct26746102700
97848881040
103080226240
111340786623
1271b68a400
133a11c38a0
1421312b600
1513063e960
hexb79885c0

3080226240 has 1008 divisors, whose sum is σ = 14039258688. Its totient is φ = 613122048.

The previous prime is 3080226223. The next prime is 3080226251. The reversal of 3080226240 is 426220803.

3080226240 is a `hidden beast` number, since 30 + 8 + 0 + 2 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42194844 + ... + 42194916.

It is an arithmetic number, because the mean of its divisors is an integer number (13927836).

Almost surely, 23080226240 is an apocalyptic number.

3080226240 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 3080226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019629344).

3080226240 is an abundant number, since it is smaller than the sum of its proper divisors (10959032448).

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

3080226240 is a wasteful number, since it uses less digits than its factorization.

3080226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3080226240 is about 55499.7859455332. The cubic root of 3080226240 is about 1454.9928932944.

The spelling of 3080226240 in words is "three billion, eighty million, two hundred twenty-six thousand, two hundred forty".