Search a number
-
+
424413300 = 2235210912979
BaseRepresentation
bin11001010011000…
…000100001110100
31002120121102121010
4121103000201310
51332122211200
6110040352220
713342311363
oct3123004164
91076542533
10424413300
111a862aaa3
12ba175670
1369c0b73c
144051b7da
15273d7150
hex194c0874

424413300 has 72 divisors (see below), whose sum is σ = 1239330400. Its totient is φ = 112129920.

The previous prime is 424413293. The next prime is 424413307. The reversal of 424413300 is 3314424.

It is an interprime number because it is at equal distance from previous prime (424413293) and next prime (424413307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424413307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26211 + ... + 39189.

Almost surely, 2424413300 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 424413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619665200).

424413300 is an abundant number, since it is smaller than the sum of its proper divisors (814917100).

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

424413300 is a wasteful number, since it uses less digits than its factorization.

424413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13105 (or 13098 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 424413300 is about 20601.2936487008. The cubic root of 424413300 is about 751.5011710869.

Adding to 424413300 its reverse (3314424), we get a palindrome (427727724).

The spelling of 424413300 in words is "four hundred twenty-four million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 218 300 327 436 545 654 1090 1308 1635 2180 2725 3270 5450 6540 8175 10900 12979 16350 25958 32700 38937 51916 64895 77874 129790 155748 194685 259580 324475 389370 648950 778740 973425 1297900 1414711 1946850 2829422 3893700 4244133 5658844 7073555 8488266 14147110 16976532 21220665 28294220 35367775 42441330 70735550 84882660 106103325 141471100 212206650 424413300