Search a number
-
+
3152040320 = 2751121331101
BaseRepresentation
bin1011101111100000…
…0101000110000000
322010200010020110002
42323320011012000
522423410242240
61240435055132
7141052620632
oct27370050600
98120106402
103152040320
111378276600
1273b7414a8
133b3049020
1421c8a2a52
15136ac7d15
hexbbe05180

3152040320 has 384 divisors, whose sum is σ = 9298679040. Its totient is φ = 1013760000.

The previous prime is 3152040319. The next prime is 3152040337. The reversal of 3152040320 is 230402513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3152040292 and 3152040301.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31208270 + ... + 31208370.

It is an arithmetic number, because the mean of its divisors is an integer number (24215310).

Almost surely, 23152040320 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 3152040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649339520).

3152040320 is an abundant number, since it is smaller than the sum of its proper divisors (6146638720).

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

3152040320 is a wasteful number, since it uses less digits than its factorization.

3152040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3152040320 is about 56143.0344744564. The cubic root of 3152040320 is about 1466.2136378592.

Adding to 3152040320 its reverse (230402513), we get a palindrome (3382442833).

The spelling of 3152040320 in words is "three billion, one hundred fifty-two million, forty thousand, three hundred twenty".