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420441314 = 21783383389
BaseRepresentation
bin11001000011110…
…110110011100010
31002022010122001112
4121003312303202
51330113110224
6105415303322
713263456266
oct3103666342
91068118045
10420441314
111a6367867
12b897ab42
136914a857
143dba60a6
1526da030e
hex190f6ce2

420441314 has 32 divisors (see below), whose sum is σ = 679311360. Its totient is φ = 194459392.

The previous prime is 420441299. The next prime is 420441317. The reversal of 420441314 is 413144024.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 420441314.

It is not an unprimeable number, because it can be changed into a prime (420441317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080632 + ... + 1081020.

It is an arithmetic number, because the mean of its divisors is an integer number (21228480).

Almost surely, 2420441314 is an apocalyptic number.

420441314 is a deficient number, since it is larger than the sum of its proper divisors (258870046).

420441314 is a wasteful number, since it uses less digits than its factorization.

420441314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874.

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 420441314 is about 20504.6656641848. The cubic root of 420441314 is about 749.1494440671.

Adding to 420441314 its reverse (413144024), we get a palindrome (833585338).

It can be divided in two parts, 42044 and 1314, that multiplied together give a triangular number (55245816 = T10511).

The spelling of 420441314 in words is "four hundred twenty million, four hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 17 34 83 166 383 389 766 778 1411 2822 6511 6613 13022 13226 31789 32287 63578 64574 148987 297974 540413 548879 1080826 1097758 2532779 5065558 12365921 24731842 210220657 420441314