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3075157440 = 26335418681
BaseRepresentation
bin1011011101001011…
…0010110111000000
321221022110011222000
42313102302313000
522244220014230
61225051144000
7136130256405
oct26722626700
97838404860
103075157440
111338934333
12719a45000
133a013a6b4
142125ac2ac
1512ee8cb60
hexb74b2dc0

3075157440 has 224 divisors, whose sum is σ = 11114349120. Its totient is φ = 799948800.

The previous prime is 3075157433. The next prime is 3075157441. The reversal of 3075157440 is 447515703.

It is a happy number.

3075157440 is a `hidden beast` number, since 30 + 7 + 51 + 574 + 4 + 0 = 666.

3075157440 is digitally balanced in base 2, because in such base 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3075157395 and 3075157404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3075157441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349900 + ... + 358580.

It is an arithmetic number, because the mean of its divisors is an integer number (49617630).

Almost surely, 23075157440 is an apocalyptic number.

3075157440 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 3075157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557174560).

3075157440 is an abundant number, since it is smaller than the sum of its proper divisors (8039191680).

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

3075157440 is a wasteful number, since it uses less digits than its factorization.

3075157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8748 (or 8732 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 3075157440 is about 55454.1021025496. The cubic root of 3075157440 is about 1454.1943462008.

The spelling of 3075157440 in words is "three billion, seventy-five million, one hundred fifty-seven thousand, four hundred forty".