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30440016 = 2433312273
BaseRepresentation
bin111010000011…
…1101001010000
32010021111212000
41310013221100
530243040031
63004234000
7516510255
oct164075120
963244760
1030440016
1116201042
12a23b900
1363ca359
14408542c
152a143e6
hex1d07a50

30440016 has 80 divisors (see below), whose sum is σ = 90232320. Its totient is φ = 9815040.

The previous prime is 30440009. The next prime is 30440021. The reversal of 30440016 is 61004403.

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

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 15 ways as a sum of consecutive naturals, for example, 12256 + ... + 14528.

It is an arithmetic number, because the mean of its divisors is an integer number (1127904).

Almost surely, 230440016 is an apocalyptic number.

30440016 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 30440016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45116160).

30440016 is an abundant number, since it is smaller than the sum of its proper divisors (59792304).

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

30440016 is a wasteful number, since it uses less digits than its factorization.

30440016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2309 counting only the distinct ones).

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

The square root of 30440016 is about 5517.2471396522. The cubic root of 30440016 is about 312.2350300077.

Adding to 30440016 its reverse (61004403), we get a palindrome (91444419).

The spelling of 30440016 in words is "thirty million, four hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 2273 3348 4464 4546 6696 6819 9092 13392 13638 18184 20457 27276 36368 40914 54552 61371 70463 81828 109104 122742 140926 163656 211389 245484 281852 327312 422778 490968 563704 634167 845556 981936 1127408 1268334 1691112 1902501 2536668 3382224 3805002 5073336 7610004 10146672 15220008 30440016