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416323216 = 2451012
BaseRepresentation
bin11000110100001…
…001011010010000
31002000101102002101
4120310021122100
51323034320331
6105151130144
713213455211
oct3064113220
91060342071
10416323216
111a4004881
12b7513954
13683382ca
143d413408
152683a061
hex18d09690

416323216 has 15 divisors (see below), whose sum is σ = 806784393. Its totient is φ = 208120800.

The previous prime is 416323213. The next prime is 416323247. The reversal of 416323216 is 612323614.

The square root of 416323216 is 20404.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 163216 + 416160000 = 404^2 + 20400^2 .

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416323213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 79066 + ... + 84166.

Almost surely, 2416323216 is an apocalyptic number.

416323216 is the 20404-th square number.

It is an amenable number.

416323216 is a deficient number, since it is larger than the sum of its proper divisors (390461177).

416323216 is an frugal number, since it uses more digits than its factorization.

416323216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210 (or 5103 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The cubic root of 416323216 is about 746.6955158213.

Multiplying 416323216 by its product of digits (5184), we get a square (2158219551744 = 14690882).

The spelling of 416323216 in words is "four hundred sixteen million, three hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 5101 10202 20404 40808 81616 26020201 52040402 104080804 208161608 416323216