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30924096 = 2637219173
BaseRepresentation
bin111010111110…
…1110101000000
32011012002212220
41311331311000
530404032341
63022451040
7523564500
oct165756500
964162786
1030924096
1116501805
12a433a80
1365397a8
14416da00
152aaca66
hex1d7dd40

30924096 has 168 divisors, whose sum is σ = 100766880. Its totient is φ = 8322048.

The previous prime is 30924067. The next prime is 30924097. The reversal of 30924096 is 69042903.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30924097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178666 + ... + 178838.

Almost surely, 230924096 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 30924096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50383440).

30924096 is an abundant number, since it is smaller than the sum of its proper divisors (69842784).

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

30924096 is a wasteful number, since it uses less digits than its factorization.

30924096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 30924096 is about 5560.9438047871. The cubic root of 30924096 is about 313.8814649886.

Adding to 30924096 its reverse (69042903), we get a palindrome (99966999).

The spelling of 30924096 in words is "thirty million, nine hundred twenty-four thousand, ninety-six".