Search a number
-
+
312004424 = 23374147547
BaseRepresentation
bin10010100110001…
…100111101001000
3210202002110121102
4102212030331020
51114333120144
650543200532
710505664614
oct2246147510
9722073542
10312004424
111501335a6
12885a6148
134c841b04
142d61a344
151c5d0b4e
hex1298cf48

312004424 has 64 divisors (see below), whose sum is σ = 629717760. Its totient is φ = 144668160.

The previous prime is 312004391. The next prime is 312004487. The reversal of 312004424 is 424400213.

312004424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 312004396 and 312004405.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 570119 + ... + 570665.

It is an arithmetic number, because the mean of its divisors is an integer number (9839340).

Almost surely, 2312004424 is an apocalyptic number.

It is an amenable number.

312004424 is an abundant number, since it is smaller than the sum of its proper divisors (317713336).

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

312004424 is a wasteful number, since it uses less digits than its factorization.

312004424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 312004424 is about 17663.6469620517. The cubic root of 312004424 is about 678.2454942970.

Adding to 312004424 its reverse (424400213), we get a palindrome (736404637).

The spelling of 312004424 in words is "three hundred twelve million, four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 37 41 47 74 82 94 148 164 188 296 328 376 547 1094 1517 1739 1927 2188 3034 3478 3854 4376 6068 6956 7708 12136 13912 15416 20239 22427 25709 40478 44854 51418 71299 80956 89708 102836 142598 161912 179416 205672 285196 570392 829799 951233 1054069 1659598 1902466 2108138 3319196 3804932 4216276 6638392 7609864 8432552 39000553 78001106 156002212 312004424