Search a number
-
+
304240133322420 = 223561131634547477
BaseRepresentation
bin100010100101101000110110…
…1000100101011011010110100
31110220020001221222211222202120
41011023101231010223122310
5304334132243112304140
62555021553204435540
7121040424060160131
oct10513215504533264
91426201858758676
10304240133322420
1188a38574811449
122a1579390a8bb0
131009b94c0b1a79
14551b43000b588
152528eb630d1d0
hex114b46d12b6b4

304240133322420 has 96 divisors (see below), whose sum is σ = 872446942071936. Its totient is φ = 79191525004800.

The previous prime is 304240133322413. The next prime is 304240133322421. The reversal of 304240133322420 is 24223331042403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304240133322421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316794279 + ... + 317753198.

It is an arithmetic number, because the mean of its divisors is an integer number (9087988979916).

Almost surely, 2304240133322420 is an apocalyptic number.

304240133322420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

304240133322420 is an abundant number, since it is smaller than the sum of its proper divisors (568206808749516).

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

304240133322420 is a wasteful number, since it uses less digits than its factorization.

304240133322420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634547681 (or 634547679 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 304240133322420 its reverse (24223331042403), we get a palindrome (328463464364823).

The spelling of 304240133322420 in words is "three hundred four trillion, two hundred forty billion, one hundred thirty-three million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 131 183 244 262 305 366 393 524 610 655 732 786 915 1220 1310 1572 1830 1965 2620 3660 3930 7860 7991 15982 23973 31964 39955 47946 79910 95892 119865 159820 239730 479460 634547477 1269094954 1903642431 2538189908 3172737385 3807284862 6345474770 7614569724 9518212155 12690949540 19036424310 38072848620 38707396097 77414792194 83125719487 116122188291 154829584388 166251438974 193536980485 232244376582 249377158461 332502877948 387073960970 415628597435 464488753164 498754316922 580610941455 774147921940 831257194870 997508633844 1161221882910 1246885792305 1662514389740 2322443765820 2493771584610 4987543169220 5070668888707 10141337777414 15212006666121 20282675554828 25353344443535 30424013332242 50706688887070 60848026664484 76060033330605 101413377774140 152120066661210 304240133322420