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3042748800 = 27355271343
BaseRepresentation
bin1011010101011100…
…1010100110000000
321212001110122200000
42311113022212000
522212420430200
61221532400000
7135254636520
oct26527124600
97761418600
103042748800
111321609233
1270b016000
133965012a0
1420c173680
1512c1da300
hexb55ca980

3042748800 has 1152 divisors, whose sum is σ = 14179925760. Its totient is φ = 627056640.

The previous prime is 3042748799. The next prime is 3042748801. The reversal of 3042748800 is 88472403.

3042748800 is a `hidden beast` number, since 304 + 274 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3042748799) and next prime (3042748801).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042748801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70761579 + ... + 70761621.

Almost surely, 23042748800 is an apocalyptic number.

3042748800 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 3042748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7089962880).

3042748800 is an abundant number, since it is smaller than the sum of its proper divisors (11137176960).

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

3042748800 is a wasteful number, since it uses less digits than its factorization.

3042748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3042748800 is about 55161.1167399646. The cubic root of 3042748800 is about 1449.0677797082.

The spelling of 3042748800 in words is "three billion, forty-two million, seven hundred forty-eight thousand, eight hundred".