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421419312 = 243212832281
BaseRepresentation
bin11001000111100…
…101100100110000
31002100222022121200
4121013211210300
51330340404222
6105452251200
713305001506
oct3107454460
91070868550
10421419312
111a6975626
12b9170b00
1369400a52
143dd7c676
1526ee4eac
hex191e5930

421419312 has 60 divisors (see below), whose sum is σ = 1180825464. Its totient is φ = 140302080.

The previous prime is 421419289. The next prime is 421419319. The reversal of 421419312 is 213914124.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (421419319) 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 11 ways as a sum of consecutive naturals, for example, 183612 + ... + 185892.

Almost surely, 2421419312 is an apocalyptic number.

It is a pronic number, being equal to 20528×20529.

It is an amenable number.

421419312 is an abundant number, since it is smaller than the sum of its proper divisors (759406152).

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

421419312 is a wasteful number, since it uses less digits than its factorization.

421419312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3569 counting only the distinct ones).

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

The square root of 421419312 is about 20528.4999939109. The cubic root of 421419312 is about 749.7298653814.

The spelling of 421419312 in words is "four hundred twenty-one million, four hundred nineteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1283 2281 2566 3849 4562 5132 6843 7698 9124 10264 11547 13686 15396 18248 20528 20529 23094 27372 30792 36496 41058 46188 54744 61584 82116 92376 109488 164232 184752 328464 2926523 5853046 8779569 11706092 17559138 23412184 26338707 35118276 46824368 52677414 70236552 105354828 140473104 210709656 421419312