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30443040 = 2538529
BaseRepresentation
bin111010000100…
…0011000100000
32010021200000000
41310020120200
530243134130
63004300000
7516522135
oct164103040
963250000
1030443040
1116203341
12a241600
1363cb844
14408658c
152a15260
hex1d08620

30443040 has 216 divisors, whose sum is σ = 111596940. Its totient is φ = 7838208.

The previous prime is 30443003. The next prime is 30443047. The reversal of 30443040 is 4034403.

It can be written as a sum of positive squares in 2 ways, for example, as 30338064 + 104976 = 5508^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (30443047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049746 + ... + 1049774.

Almost surely, 230443040 is an apocalyptic number.

30443040 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 30443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55798470).

30443040 is an abundant number, since it is smaller than the sum of its proper divisors (81153900).

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

30443040 is an frugal number, since it uses more digits than its factorization.

30443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 30443040 is about 5517.5211825602. The cubic root of 30443040 is about 312.2453691116.

Adding to 30443040 its reverse (4034403), we get a palindrome (34477443).

It can be divided in two parts, 3044 and 3040, that added together give a square (6084 = 782).

The spelling of 30443040 in words is "thirty million, four hundred forty-three thousand, forty".