Search a number
-
+
421941312 = 2635132087
BaseRepresentation
bin11001001001100…
…101000001000000
31002101221211200000
4121021211001000
51331004110222
6105511400000
713312304412
oct3111450100
91071854600
10421941312
111a71a1831
12b9383000
1369554520
14400769b2
15270999ac
hex19265040

421941312 has 168 divisors, whose sum is σ = 1351336896. Its totient is φ = 129765888.

The previous prime is 421941307. The next prime is 421941319. The reversal of 421941312 is 213149124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (421941319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201133 + ... + 203219.

It is an arithmetic number, because the mean of its divisors is an integer number (8043672).

Almost surely, 2421941312 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 421941312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675668448).

421941312 is an abundant number, since it is smaller than the sum of its proper divisors (929395584).

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

421941312 is a wasteful number, since it uses less digits than its factorization.

421941312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2105 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 421941312 is about 20541.2100909367. The cubic root of 421941312 is about 750.0392939413.

The spelling of 421941312 in words is "four hundred twenty-one million, nine hundred forty-one thousand, three hundred twelve".