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30061440 = 2732517307
BaseRepresentation
bin111001010101…
…1001110000000
32002120021112200
41302223032000
530143431230
62552153200
7513342453
oct162531600
962507480
1030061440
1115a72672
12a098800
1362c6c46
143dc749a
15298c160
hex1cab380

30061440 has 192 divisors, whose sum is σ = 110270160. Its totient is φ = 7520256.

The previous prime is 30061433. The next prime is 30061453. The reversal of 30061440 is 4416003.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97767 + ... + 98073.

Almost surely, 230061440 is an apocalyptic number.

30061440 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 30061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55135080).

30061440 is an abundant number, since it is smaller than the sum of its proper divisors (80208720).

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

30061440 is a wasteful number, since it uses less digits than its factorization.

30061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30061440 is about 5482.8313853337. The cubic root of 30061440 is about 310.9352263581.

Adding to 30061440 its reverse (4416003), we get a palindrome (34477443).

The spelling of 30061440 in words is "thirty million, sixty-one thousand, four hundred forty".