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3042700416 = 27337294337
BaseRepresentation
bin1011010101011011…
…1110110010000000
321212001101012022000
42311112332302000
522212412403131
61221531344000
7135254345460
oct26526766200
97761335260
103042700416
111321585948
1270abb2000
133964b5262
1420c15dba0
1512c1cace6
hexb55bec80

3042700416 has 256 divisors, whose sum is σ = 10619424000. Its totient is φ = 839172096.

The previous prime is 3042700369. The next prime is 3042700459. The reversal of 3042700416 is 6140072403.

3042700416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3042700416.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699400 + ... + 703736.

It is an arithmetic number, because the mean of its divisors is an integer number (41482125).

Almost surely, 23042700416 is an apocalyptic number.

3042700416 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 3042700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309712000).

3042700416 is an abundant number, since it is smaller than the sum of its proper divisors (7576723584).

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

3042700416 is a wasteful number, since it uses less digits than its factorization.

3042700416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3042700416 is about 55160.6781684199. The cubic root of 3042700416 is about 1449.0600989266.

Adding to 3042700416 its reverse (6140072403), we get a palindrome (9182772819).

The spelling of 3042700416 in words is "three billion, forty-two million, seven hundred thousand, four hundred sixteen".