Search a number
-
+
3146901030 = 2355721319107
BaseRepresentation
bin1011101110010001…
…1110011000100110
322010022110010200000
42323210132120212
522421101313110
61240133002130
7140661134400
oct27344363046
98108403600
103146901030
111375386359
12739a83346
133b1c69a20
1421bd25b70
151364101c0
hexbb91e626

3146901030 has 576 divisors, whose sum is σ = 11293551360. Its totient is φ = 623137536.

The previous prime is 3146900993. The next prime is 3146901077. The reversal of 3146901030 is 301096413.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3146900985 and 3146901003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29410237 + ... + 29410343.

It is an arithmetic number, because the mean of its divisors is an integer number (19606860).

Almost surely, 23146901030 is an apocalyptic number.

3146901030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3146901030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646775680).

3146901030 is an abundant number, since it is smaller than the sum of its proper divisors (8146650330).

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

3146901030 is a wasteful number, since it uses less digits than its factorization.

3146901030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3146901030 is about 56097.2461890956. The cubic root of 3146901030 is about 1465.4163345910.

Adding to 3146901030 its reverse (301096413), we get a palindrome (3447997443).

The spelling of 3146901030 in words is "three billion, one hundred forty-six million, nine hundred one thousand, thirty".