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30285400 = 2352163929
BaseRepresentation
bin111001110000…
…1111001011000
32002222122202111
41303201321120
530223113100
63001042104
7515264425
oct163417130
962878674
1030285400
1116105962
12a186334
136374b72
144044d4c
1529d36ba
hex1ce1e58

30285400 has 48 divisors (see below), whose sum is σ = 70921800. Its totient is φ = 12026880.

The previous prime is 30285391. The next prime is 30285403. The reversal of 30285400 is 458203.

It is a super-3 number, since 3×302854003 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30285403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32136 + ... + 33064.

Almost surely, 230285400 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 30285400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35460900).

30285400 is an abundant number, since it is smaller than the sum of its proper divisors (40636400).

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

30285400 is a wasteful number, since it uses less digits than its factorization.

30285400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 30285400 is about 5503.2172408510. The cubic root of 30285400 is about 311.7054803419.

The spelling of 30285400 in words is "thirty million, two hundred eighty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 326 652 815 929 1304 1630 1858 3260 3716 4075 4645 6520 7432 8150 9290 16300 18580 23225 32600 37160 46450 92900 151427 185800 302854 605708 757135 1211416 1514270 3028540 3785675 6057080 7571350 15142700 30285400