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30440256 = 2637112971
BaseRepresentation
bin111010000011…
…1101101000000
32010021112011220
41310013231000
530243042011
63004235040
7516511050
oct164075500
963245156
1030440256
1116201240
12a23ba80
1363ca4b2
144085560
152a14506
hex1d07b40

30440256 has 224 divisors, whose sum is σ = 105338880. Its totient is φ = 7526400.

The previous prime is 30440239. The next prime is 30440257. The reversal of 30440256 is 65204403.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30440257) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 428701 + ... + 428771.

Almost surely, 230440256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52669440).

30440256 is an abundant number, since it is smaller than the sum of its proper divisors (74898624).

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

30440256 is a wasteful number, since it uses less digits than its factorization.

30440256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 30440256 is about 5517.2688895866. The cubic root of 30440256 is about 312.2358505965.

Adding to 30440256 its reverse (65204403), we get a palindrome (95644659).

The spelling of 30440256 in words is "thirty million, four hundred forty thousand, two hundred fifty-six".