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420440814 = 23341189901
BaseRepresentation
bin11001000011110…
…110101011101110
31002022010121101000
4121003312223232
51330113101224
6105415301130
713263454653
oct3103665356
91068117330
10420440814
111a6367452
12b897a7a6
136914a561
143dba5c2a
1526da00c9
hex190f6aee

420440814 has 32 divisors (see below), whose sum is σ = 957106080. Its totient is φ = 136728000.

The previous prime is 420440809. The next prime is 420440827. The reversal of 420440814 is 418044024.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92737 + ... + 97164.

It is an arithmetic number, because the mean of its divisors is an integer number (29909565).

Almost surely, 2420440814 is an apocalyptic number.

420440814 is an abundant number, since it is smaller than the sum of its proper divisors (536665266).

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

420440814 is a wasteful number, since it uses less digits than its factorization.

420440814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189953 (or 189947 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 420440814 is about 20504.6534718341. The cubic root of 420440814 is about 749.1491470975.

Adding to 420440814 its reverse (418044024), we get a palindrome (838484838).

The spelling of 420440814 in words is "four hundred twenty million, four hundred forty thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 189901 379802 569703 1139406 1709109 3418218 5127327 7785941 10254654 15571882 23357823 46715646 70073469 140146938 210220407 420440814