Search a number
-
+
424301320 = 23529212613
BaseRepresentation
bin11001010010100…
…101001100001000
31002120101201222201
4121102211030020
51332110120240
6110034125544
713341334042
oct3122451410
91076351881
10424301320
111a8563953
12ba1208b4
1369b9c791
14404cca92
15273b3d9a
hex194a5308

424301320 has 48 divisors (see below), whose sum is σ = 988811460. Its totient is φ = 163855104.

The previous prime is 424301261. The next prime is 424301329. The reversal of 424301320 is 23103424.

It can be written as a sum of positive squares in 6 ways, for example, as 175986756 + 248314564 = 13266^2 + 15758^2 .

It is a super-2 number, since 2×4243013202 = 360063220307484800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (424301329) 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 11 ways as a sum of consecutive naturals, for example, 27334 + ... + 39946.

Almost surely, 2424301320 is an apocalyptic number.

424301320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494405730).

424301320 is an abundant number, since it is smaller than the sum of its proper divisors (564510140).

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

424301320 is a wasteful number, since it uses less digits than its factorization.

424301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12682 (or 12649 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 424301320 is about 20598.5756789153. The cubic root of 424301320 is about 751.4350716006.

Adding to 424301320 its reverse (23103424), we get a palindrome (447404744).

The spelling of 424301320 in words is "four hundred twenty-four million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 841 1160 1682 3364 4205 6728 8410 12613 16820 25226 33640 50452 63065 100904 126130 252260 365777 504520 731554 1463108 1828885 2926216 3657770 7315540 10607533 14631080 21215066 42430132 53037665 84860264 106075330 212150660 424301320