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30880240 = 2451392777
BaseRepresentation
bin111010111001…
…1000111110000
32011002212201121
41311303013300
530401131430
63021512024
7523322566
oct165630760
964085647
1030880240
1116481866
12a412614
136522841
14415ba36
152a9ea7a
hex1d731f0

30880240 has 40 divisors (see below), whose sum is σ = 72339120. Its totient is φ = 12258816.

The previous prime is 30880219. The next prime is 30880253. The reversal of 30880240 is 4208803.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9732 + ... + 12508.

It is an arithmetic number, because the mean of its divisors is an integer number (1808478).

Almost surely, 230880240 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 30880240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36169560).

30880240 is an abundant number, since it is smaller than the sum of its proper divisors (41458880).

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

30880240 is a wasteful number, since it uses less digits than its factorization.

30880240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 30880240 is about 5556.9991902105. Note that the first 3 decimals coincide. The cubic root of 30880240 is about 313.7330144294.

The spelling of 30880240 in words is "thirty million, eight hundred eighty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2777 2780 5554 5560 11108 11120 13885 22216 27770 44432 55540 111080 222160 386003 772006 1544012 1930015 3088024 3860030 6176048 7720060 15440120 30880240