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30368844 = 2234118521
BaseRepresentation
bin111001111011…
…0010001001100
32010010220020000
41303312101030
530233300334
63002524300
7516062622
oct163662114
963126200
1030368844
1116162620
12a206690
1363a3b3c
144067512
1529ed299
hex1cf644c

30368844 has 60 divisors (see below), whose sum is σ = 86617608. Its totient is φ = 9201600.

The previous prime is 30368843. The next prime is 30368861. The reversal of 30368844 is 44886303.

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

It is a junction number, because it is equal to n+sod(n) for n = 30368799 and 30368808.

It is not an unprimeable number, because it can be changed into a prime (30368843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 697 + ... + 7824.

Almost surely, 230368844 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 30368844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43308804).

30368844 is an abundant number, since it is smaller than the sum of its proper divisors (56248764).

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

30368844 is a wasteful number, since it uses less digits than its factorization.

30368844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8548 (or 8537 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 30368844 is about 5510.7934093014. The cubic root of 30368844 is about 311.9914938509.

The spelling of 30368844 in words is "thirty million, three hundred sixty-eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 8521 17042 25563 34084 51126 76689 93731 102252 153378 187462 230067 281193 306756 374924 460134 562386 690201 843579 920268 1124772 1380402 1687158 2530737 2760804 3374316 5061474 7592211 10122948 15184422 30368844