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30873024 = 26327131931
BaseRepresentation
bin111010111000…
…1010111000000
32011002111211100
41311301113000
530400414044
63021414400
7523262550
oct165612700
964074740
1030873024
11164773a6
12a40a400
13651c480
144159160
152a9c869
hex1d715c0

30873024 has 336 divisors, whose sum is σ = 118343680. Its totient is φ = 7464960.

The previous prime is 30873013. The next prime is 30873053. The reversal of 30873024 is 42037803.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×308730242 = 1906287221809152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995889 + ... + 995919.

Almost surely, 230873024 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 30873024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59171840).

30873024 is an abundant number, since it is smaller than the sum of its proper divisors (87470656).

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

30873024 is a wasteful number, since it uses less digits than its factorization.

30873024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30873024 is about 5556.3498809920. The cubic root of 30873024 is about 313.7085751354.

The spelling of 30873024 in words is "thirty million, eight hundred seventy-three thousand, twenty-four".