Search a number
-
+
421012314 = 232291495413
BaseRepresentation
bin11001000110000…
…010001101011010
31002100012122022200
4121012002031122
51330234343224
6105435431030
713301355102
oct3106021532
91070178280
10421012314
111a6717868
12b8bb5476
13692ba718
143dcb4202
1526e645c9
hex1918235a

421012314 has 48 divisors (see below), whose sum is σ = 950157000. Its totient is φ = 134563968.

The previous prime is 421012303. The next prime is 421012331. The reversal of 421012314 is 413210124.

It can be written as a sum of positive squares in 4 ways, for example, as 225991089 + 195021225 = 15033^2 + 13965^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75072 + ... + 80484.

Almost surely, 2421012314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421012314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475078500).

421012314 is an abundant number, since it is smaller than the sum of its proper divisors (529144686).

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

421012314 is a wasteful number, since it uses less digits than its factorization.

421012314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 421012314 is about 20518.5846003081. The cubic root of 421012314 is about 749.4884298073.

Adding to 421012314 its reverse (413210124), we get a palindrome (834222438).

The spelling of 421012314 in words is "four hundred twenty-one million, twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 149 174 261 298 447 522 894 1341 2682 4321 5413 8642 10826 12963 16239 25926 32478 38889 48717 77778 97434 156977 313954 470931 806537 941862 1412793 1613074 2419611 2825586 4839222 7258833 14517666 23389573 46779146 70168719 140337438 210506157 421012314