Search a number
-
+
3045746760 = 233573743253
BaseRepresentation
bin1011010110001010…
…0110100001001000
321212021002222002120
42311202212201020
522214202344020
61222120531240
7135322264110
oct26542464110
97767088076
103045746760
111323276691
12710020b20
13397010a24
1420c714040
1512c5cd740
hexb58a6848

3045746760 has 384 divisors, whose sum is σ = 11187175680. Its totient is φ = 649119744.

The previous prime is 3045746749. The next prime is 3045746773. The reversal of 3045746760 is 676475403.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 57466894 + ... + 57466946.

It is an arithmetic number, because the mean of its divisors is an integer number (29133270).

Almost surely, 23045746760 is an apocalyptic number.

3045746760 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 3045746760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593587840).

3045746760 is an abundant number, since it is smaller than the sum of its proper divisors (8141428920).

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

3045746760 is a wasteful number, since it uses less digits than its factorization.

3045746760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 3045746760 is about 55188.2846263589. The cubic root of 3045746760 is about 1449.5435360653.

The spelling of 3045746760 in words is "three billion, forty-five million, seven hundred forty-six thousand, seven hundred sixty".