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30044016 = 24321979139
BaseRepresentation
bin111001010011…
…0111101110000
32002112101122100
41302212331300
530142402031
62551540400
7513240612
oct162467560
962471570
1030044016
1115a60572
12a08a700
1362bc032
143dc0db2
152986de6
hex1ca6f70

30044016 has 120 divisors (see below), whose sum is σ = 90272000. Its totient is φ = 9300096.

The previous prime is 30043999. The next prime is 30044033. The reversal of 30044016 is 61044003.

It is an interprime number because it is at equal distance from previous prime (30043999) and next prime (30044033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 30044016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216075 + ... + 216213.

Almost surely, 230044016 is an apocalyptic number.

30044016 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 30044016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45136000).

30044016 is an abundant number, since it is smaller than the sum of its proper divisors (60227984).

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

30044016 is a wasteful number, since it uses less digits than its factorization.

30044016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30044016 is about 5481.2421949773. The cubic root of 30044016 is about 310.8751407196.

Adding to 30044016 its reverse (61044003), we get a palindrome (91088019).

The spelling of 30044016 in words is "thirty million, forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 79 114 139 144 152 158 171 228 237 278 304 316 342 417 456 474 556 632 684 711 834 912 948 1112 1251 1264 1368 1422 1501 1668 1896 2224 2502 2641 2736 2844 3002 3336 3792 4503 5004 5282 5688 6004 6672 7923 9006 10008 10564 10981 11376 12008 13509 15846 18012 20016 21128 21962 23769 24016 27018 31692 32943 36024 42256 43924 47538 54036 63384 65886 72048 87848 95076 98829 108072 126768 131772 175696 190152 197658 208639 216144 263544 380304 395316 417278 527088 625917 790632 834556 1251834 1581264 1669112 1877751 2503668 3338224 3755502 5007336 7511004 10014672 15022008 30044016