Search a number
-
+
421463310 = 23573223863
BaseRepresentation
bin11001000111110…
…000010100001110
31002101001112222020
4121013300110032
51330343311220
6105453231010
713305244002
oct3107602416
91071045866
10421463310
111a69a5694
12b9192466
1369417a98
143dd90702
1527003040
hex191f050e

421463310 has 64 divisors (see below), whose sum is σ = 1031159808. Its totient is φ = 110225664.

The previous prime is 421463309. The next prime is 421463311. The reversal of 421463310 is 13364124.

It is an interprime number because it is at equal distance from previous prime (421463309) and next prime (421463311).

It is a super-2 number, since 2×4214633102 = 355262643352312200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421463311) 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 31 ways as a sum of consecutive naturals, for example, 487939 + ... + 488801.

It is an arithmetic number, because the mean of its divisors is an integer number (16111872).

Almost surely, 2421463310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421463310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515579904).

421463310 is an abundant number, since it is smaller than the sum of its proper divisors (609696498).

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

421463310 is a wasteful number, since it uses less digits than its factorization.

421463310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 421463310 is about 20529.5715980631. The cubic root of 421463310 is about 749.7559561543.

The spelling of 421463310 in words is "four hundred twenty-one million, four hundred sixty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 223 365 438 446 669 730 863 1095 1115 1338 1726 2190 2230 2589 3345 4315 5178 6690 8630 12945 16279 25890 32558 48837 62999 81395 97674 125998 162790 188997 192449 244185 314995 377994 384898 488370 577347 629990 944985 962245 1154694 1889970 1924490 2886735 5773470 14048777 28097554 42146331 70243885 84292662 140487770 210731655 421463310