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30244896 = 2532119547
BaseRepresentation
bin111001101100…
…0000000100000
32002220121012100
41303120000200
530220314041
63000130400
7515035353
oct163300040
962817170
1030244896
1116088490
12a166a00
13635c5b6
14403429a
1529c66b6
hex1cd8020

30244896 has 72 divisors (see below), whose sum is σ = 93837744. Its totient is φ = 9164160.

The previous prime is 30244861. The next prime is 30244897. The reversal of 30244896 is 69844203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30244896.

It is not an unprimeable number, because it can be changed into a prime (30244897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1606 + ... + 7941.

It is an arithmetic number, because the mean of its divisors is an integer number (1303302).

Almost surely, 230244896 is an apocalyptic number.

30244896 is a gapful number since it is divisible by the number (36) 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 30244896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46918872).

30244896 is an abundant number, since it is smaller than the sum of its proper divisors (63592848).

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

30244896 is a wasteful number, since it uses less digits than its factorization.

30244896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9574 (or 9563 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 30244896 is about 5499.5359804260. The cubic root of 30244896 is about 311.5664589942.

The spelling of 30244896 in words is "thirty million, two hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 9547 19094 28641 38188 57282 76376 85923 105017 114564 152752 171846 210034 229128 305504 315051 343692 420068 458256 630102 687384 840136 916512 945153 1260204 1374768 1680272 1890306 2520408 2749536 3360544 3780612 5040816 7561224 10081632 15122448 30244896