Search a number
-
+
3141002340 = 2233571515503
BaseRepresentation
bin1011101100110111…
…1110010001100100
322002220100110012000
42323031332101210
522413044033330
61235402325300
7140560036140
oct27315762144
98086313160
103141002340
111372017603
12737ab9830
133b0982b88
1421b22c220
15135b47560
hexbb37e464

3141002340 has 192 divisors, whose sum is σ = 11244011520. Its totient is φ = 713059200.

The previous prime is 3141002311. The next prime is 3141002341. The reversal of 3141002340 is 432001413.

3141002340 is a `hidden beast` number, since 314 + 10 + 0 + 2 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3141002341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 568029 + ... + 573531.

It is an arithmetic number, because the mean of its divisors is an integer number (58562560).

Almost surely, 23141002340 is an apocalyptic number.

3141002340 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 3141002340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622005760).

3141002340 is an abundant number, since it is smaller than the sum of its proper divisors (8103009180).

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

3141002340 is a wasteful number, since it uses less digits than its factorization.

3141002340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5679 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3141002340 is about 56044.6459530257. The cubic root of 3141002340 is about 1464.5001482489.

Adding to 3141002340 its reverse (432001413), we get a palindrome (3573003753).

The spelling of 3141002340 in words is "three billion, one hundred forty-one million, two thousand, three hundred forty".