Search a number
-
+
424304200 = 235219111659
BaseRepresentation
bin11001010010100…
…101111001001000
31002120101212221101
4121102211321020
51332110213300
6110034151144
713341345325
oct3122457110
91076355841
10424304200
111a8566031
12ba1224b4
1369ba0b98
14404cdb4c
15273b4b6a
hex194a5e48

424304200 has 48 divisors (see below), whose sum is σ = 1038438000. Its totient is φ = 160787520.

The previous prime is 424304129. The next prime is 424304201. The reversal of 424304200 is 2403424.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (424304201) 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, 52030 + ... + 59629.

It is an arithmetic number, because the mean of its divisors is an integer number (21634125).

Almost surely, 2424304200 is an apocalyptic number.

424304200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424304200 is an abundant number, since it is smaller than the sum of its proper divisors (614133800).

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

424304200 is a wasteful number, since it uses less digits than its factorization.

424304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111694 (or 111685 counting only the distinct ones).

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

The square root of 424304200 is about 20598.6455865428. The cubic root of 424304200 is about 751.4367717509.

Adding to 424304200 its reverse (2403424), we get a palindrome (426707624).

The spelling of 424304200 in words is "four hundred twenty-four million, three hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 111659 223318 446636 558295 893272 1116590 2121521 2233180 2791475 4243042 4466360 5582950 8486084 10607605 11165900 16972168 21215210 22331800 42430420 53038025 84860840 106076050 212152100 424304200