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30337424 = 2413157929
BaseRepresentation
bin111001110111…
…0100110010000
32010002022010022
41303232212100
530231244144
63002123012
7515602205
oct163564620
963068108
1030337424
1116140a57
12a1b0468
136392750
144059cac
1529e3cee
hex1cee990

30337424 has 40 divisors (see below), whose sum is σ = 63771960. Its totient is φ = 13897728.

The previous prime is 30337423. The next prime is 30337427. The reversal of 30337424 is 42473303.

It can be written as a sum of positive squares in 4 ways, for example, as 1607824 + 28729600 = 1268^2 + 5360^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 30337393 and 30337402.

It is not an unprimeable number, because it can be changed into a prime (30337423) 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 7 ways as a sum of consecutive naturals, for example, 32192 + ... + 33120.

It is an arithmetic number, because the mean of its divisors is an integer number (1594299).

Almost surely, 230337424 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 30337424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31885980).

30337424 is an abundant number, since it is smaller than the sum of its proper divisors (33434536).

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

30337424 is a wasteful number, since it uses less digits than its factorization.

30337424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 26.

The square root of 30337424 is about 5507.9419023806. The cubic root of 30337424 is about 311.8838599068.

The spelling of 30337424 in words is "thirty million, three hundred thirty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 157 208 314 628 929 1256 1858 2041 2512 3716 4082 7432 8164 12077 14864 16328 24154 32656 48308 96616 145853 193232 291706 583412 1166824 1896089 2333648 3792178 7584356 15168712 30337424