Search a number
-
+
421443312 = 243292771093
BaseRepresentation
bin11001000111101…
…011011011110000
31002101000112112120
4121013223123300
51330342141222
6105452554240
713305131463
oct3107533360
91071015476
10421443312
111a6991664
12b9182980
136940b954
143dd872da
1526eec15c
hex191eb6f0

421443312 has 80 divisors (see below), whose sum is σ = 1131371040. Its totient is φ = 135023616.

The previous prime is 421443299. The next prime is 421443353. The reversal of 421443312 is 213344124.

It is a super-2 number, since 2×4214433122 = 355228930459058688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385038 + ... + 386130.

It is an arithmetic number, because the mean of its divisors is an integer number (14142138).

Almost surely, 2421443312 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 421443312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565685520).

421443312 is an abundant number, since it is smaller than the sum of its proper divisors (709927728).

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

421443312 is a wasteful number, since it uses less digits than its factorization.

421443312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1404 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 421443312 is about 20529.0845387708. The cubic root of 421443312 is about 749.7440975841.

Adding to 421443312 its reverse (213344124), we get a palindrome (634787436).

The spelling of 421443312 in words is "four hundred twenty-one million, four hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 277 348 464 554 696 831 1093 1108 1392 1662 2186 2216 3279 3324 4372 4432 6558 6648 8033 8744 13116 13296 16066 17488 24099 26232 31697 32132 48198 52464 63394 64264 95091 96396 126788 128528 190182 192792 253576 302761 380364 385584 507152 605522 760728 908283 1211044 1521456 1816566 2422088 3633132 4844176 7266264 8780069 14532528 17560138 26340207 35120276 52680414 70240552 105360828 140481104 210721656 421443312