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30993400 = 2352353439
BaseRepresentation
bin111011000111…
…0101111111000
32011022121221201
41312032233320
530413242100
63024143544
7524303524
oct166165770
964277851
1030993400
1116549889
12a467bb4
1365621b9
14418ad84
152ac336a
hex1d8ebf8

30993400 has 48 divisors (see below), whose sum is σ = 72428400. Its totient is φ = 12334080.

The previous prime is 30993353. The next prime is 30993401. The reversal of 30993400 is 439903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30993401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70381 + ... + 70819.

It is an arithmetic number, because the mean of its divisors is an integer number (1508925).

Almost surely, 230993400 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 30993400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36214200).

30993400 is an abundant number, since it is smaller than the sum of its proper divisors (41435000).

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

30993400 is a wasteful number, since it uses less digits than its factorization.

30993400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 30993400 is about 5567.1716337832. The cubic root of 30993400 is about 314.1157699877.

The spelling of 30993400 in words is "thirty million, nine hundred ninety-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 353 439 706 878 1412 1756 1765 2195 2824 3512 3530 4390 7060 8780 8825 10975 14120 17560 17650 21950 35300 43900 70600 87800 154967 309934 619868 774835 1239736 1549670 3099340 3874175 6198680 7748350 15496700 30993400