Search a number
-
+
3140491536 = 243273136773
BaseRepresentation
bin1011101100110000…
…0001100100010000
322002212101111111100
42323030001210100
522412431212121
61235343344400
7140552511000
oct27314014420
98085344440
103140491536
1113717a8856
127378b2100
133b0834520
1421b138000
15135a96026
hexbb301910

3140491536 has 480 divisors, whose sum is σ = 11356217600. Its totient is φ = 804722688.

The previous prime is 3140491531. The next prime is 3140491579. The reversal of 3140491536 is 6351940413.

3140491536 is a `hidden beast` number, since 31 + 4 + 0 + 4 + 91 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3140491536.

It is not an unprimeable number, because it can be changed into a prime (3140491531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43020396 + ... + 43020468.

Almost surely, 23140491536 is an apocalyptic number.

3140491536 is a gapful number since it is divisible by the number (36) 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 3140491536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5678108800).

3140491536 is an abundant number, since it is smaller than the sum of its proper divisors (8215726064).

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

3140491536 is a wasteful number, since it uses less digits than its factorization.

3140491536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3140491536 is about 56040.0886508935. The cubic root of 3140491536 is about 1464.4207560668.

The spelling of 3140491536 in words is "three billion, one hundred forty million, four hundred ninety-one thousand, five hundred thirty-six".