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30285944 = 23131272293
BaseRepresentation
bin111001110001…
…0000001111000
32002222200111122
41303202001320
530223122234
63001044412
7515266133
oct163420170
962880448
1030285944
1116106307
12a186708
1363751a0
14404521a
1529d392e
hex1ce2078

30285944 has 32 divisors (see below), whose sum is σ = 61662720. Its totient is φ = 13862016.

The previous prime is 30285929. The next prime is 30285967. The reversal of 30285944 is 44958203.

It is a super-3 number, since 3×302859443 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12062 + ... + 14354.

It is an arithmetic number, because the mean of its divisors is an integer number (1926960).

Almost surely, 230285944 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 30285944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30831360).

30285944 is an abundant number, since it is smaller than the sum of its proper divisors (31376776).

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

30285944 is a wasteful number, since it uses less digits than its factorization.

30285944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 30285944 is about 5503.2666662629. The cubic root of 30285944 is about 311.7073466621.

The spelling of 30285944 in words is "thirty million, two hundred eighty-five thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 127 254 508 1016 1651 2293 3302 4586 6604 9172 13208 18344 29809 59618 119236 238472 291211 582422 1164844 2329688 3785743 7571486 15142972 30285944