Search a number
-
+
312343442424 = 2332131719629427
BaseRepresentation
bin1001000101110010001…
…11101011001111111000
31002212012202021212112100
410202321013223033320
520104134410124144
6355253311543400
731365106312056
oct4427107531770
91085182255470
10312343442424
11110511804292
125064b22ab60
13235b91918b0
14111906011d6
1581d1170269
hex48b91eb3f8

312343442424 has 96 divisors (see below), whose sum is σ = 964590091920. Its totient is φ = 90452395008.

The previous prime is 312343442423. The next prime is 312343442459. The reversal of 312343442424 is 424244343213.

312343442424 is a `hidden beast` number, since 31 + 2 + 343 + 44 + 242 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312343442423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9798802 + ... + 9830625.

Almost surely, 2312343442424 is an apocalyptic number.

312343442424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

312343442424 is an abundant number, since it is smaller than the sum of its proper divisors (652246649496).

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

312343442424 is a wasteful number, since it uses less digits than its factorization.

312343442424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19629469 (or 19629462 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 312343442424 its reverse (424244343213), we get a palindrome (736587785637).

It can be divided in two parts, 312 and 343442424, that added together give a triangular number (343442736 = T26208).

The spelling of 312343442424 in words is "three hundred twelve billion, three hundred forty-three million, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2652 3978 5304 7956 15912 19629427 39258854 58888281 78517708 117776562 157035416 176664843 235553124 255182551 333700259 353329686 471106248 510365102 667400518 706659372 765547653 1001100777 1020730204 1334801036 1413318744 1531095306 2002201554 2041460408 2296642959 2669602072 3003302331 3062190612 4004403108 4338103367 4593285918 6006604662 6124381224 8008806216 8676206734 9186571836 12013209324 13014310101 17352413468 18373143672 24026418648 26028620202 34704826936 39042930303 52057240404 78085860606 104114480808 156171721212 312343442424