Search a number
-
+
324412401300 = 223521383182667
BaseRepresentation
bin1001011100010000111…
…11000110011010010100
31011000100212011111200020
410232020133012122110
520303344033320200
6405011043345140
732303145625101
oct4561037063224
91130325144606
10324412401300
11115645385769
1252a590821b0
13247906bc090
14119b744daa8
15868a9b2ea0
hex4b887c6694

324412401300 has 72 divisors (see below), whose sum is σ = 1010835781536. Its totient is φ = 79855359360.

The previous prime is 324412401289. The next prime is 324412401317. The reversal of 324412401300 is 3104214423.

It is a super-2 number, since 2×3244124013002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41587434 + ... + 41595233.

Almost surely, 2324412401300 is an apocalyptic number.

324412401300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

324412401300 is an abundant number, since it is smaller than the sum of its proper divisors (686423380236).

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

324412401300 is a wasteful number, since it uses less digits than its factorization.

324412401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83182697 (or 83182690 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 324412401300 its reverse (3104214423), we get a palindrome (327516615723).

The spelling of 324412401300 in words is "three hundred twenty-four billion, four hundred twelve million, four hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 83182667 166365334 249548001 332730668 415913335 499096002 831826670 998192004 1081374671 1247740005 1663653340 2079566675 2162749342 2495480010 3244124013 4159133350 4325498684 4990960020 5406873355 6238700025 6488248026 8318266700 10813746710 12477400050 12976496052 16220620065 21627493420 24954800100 27034366775 32441240130 54068733550 64882480260 81103100325 108137467100 162206200650 324412401300