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4230240400 = 245210575601
BaseRepresentation
bin1111110000100100…
…0101100010010000
3101220210221110220101
43330021011202100
532130420143100
61535432422144
7206554310251
oct37411054220
911823843811
104230240400
111880951251
129a0847954
13525536239
142c1b68b28
1519b5a486a
hexfc245890

4230240400 has 30 divisors (see below), whose sum is σ = 10163153522. Its totient is φ = 1692096000.

The previous prime is 4230240397. The next prime is 4230240401. The reversal of 4230240400 is 40420324.

It can be written as a sum of positive squares in 3 ways, for example, as 1350415504 + 2879824896 = 36748^2 + 53664^2 .

It is not an unprimeable number, because it can be changed into a prime (4230240401) 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 5 ways as a sum of consecutive naturals, for example, 5287401 + ... + 5288200.

Almost surely, 24230240400 is an apocalyptic number.

4230240400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4230240400 is an abundant number, since it is smaller than the sum of its proper divisors (5932913122).

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

4230240400 is a wasteful number, since it uses less digits than its factorization.

4230240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10575619 (or 10575608 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4230240400 is about 65040.2982772988. The cubic root of 4230240400 is about 1617.2916693975.

Adding to 4230240400 its reverse (40420324), we get a palindrome (4270660724).

The spelling of 4230240400 in words is "four billion, two hundred thirty million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 10575601 21151202 42302404 52878005 84604808 105756010 169209616 211512020 264390025 423024040 528780050 846048080 1057560100 2115120200 4230240400