Search a number
-
+
3042055764 = 223711101313
BaseRepresentation
bin1011010101010010…
…0001011001010100
321212000011110000000
42311110201121110
522212231241024
61221505451300
7135246022146
oct26524413124
97760143000
103042055764
111321185580
1270a940b30
1339631a9c7
1420c032c96
1512c0eecc9
hexb5521654

3042055764 has 192 divisors, whose sum is σ = 8824354560. Its totient is φ = 909792000.

The previous prime is 3042055759. The next prime is 3042055843. The reversal of 3042055764 is 4675502403.

3042055764 is a `hidden beast` number, since 3 + 0 + 42 + 0 + 557 + 64 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9718872 + ... + 9719184.

It is an arithmetic number, because the mean of its divisors is an integer number (45960180).

Almost surely, 23042055764 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 3042055764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412177280).

3042055764 is an abundant number, since it is smaller than the sum of its proper divisors (5782298796).

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

3042055764 is a wasteful number, since it uses less digits than its factorization.

3042055764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 3042055764 is about 55154.8344571897. The cubic root of 3042055764 is about 1448.9577550278.

The spelling of 3042055764 in words is "three billion, forty-two million, fifty-five thousand, seven hundred sixty-four".