Search a number
-
+
24234023331 = 327617979823
BaseRepresentation
bin10110100100011101…
…011101100110100011
32022112220120221100200
4112210131131212203
5344112402221311
615044415120243
71515353541150
oct264435354643
968486527320
1024234023331
11a306524461
124843b13083
13239293699b
14125c757227
1596c81b556
hex5a475d9a3

24234023331 has 48 divisors (see below), whose sum is σ = 41176412160. Its totient is φ = 13448410560.

The previous prime is 24234023329. The next prime is 24234023339. The reversal of 24234023331 is 13332043242.

24234023331 is a `hidden beast` number, since 2 + 423 + 4 + 0 + 233 + 3 + 1 = 666.

It is not a de Polignac number, because 24234023331 - 21 = 24234023329 is a prime.

It is a super-2 number, since 2×242340233312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24234023295 and 24234023304.

It is not an unprimeable number, because it can be changed into a prime (24234023339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263686 + ... + 343508.

It is an arithmetic number, because the mean of its divisors is an integer number (857841920).

Almost surely, 224234023331 is an apocalyptic number.

24234023331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

24234023331 is a deficient number, since it is larger than the sum of its proper divisors (16942388829).

24234023331 is a wasteful number, since it uses less digits than its factorization.

24234023331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79976 (or 79973 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 24234023331 its reverse (13332043242), we get a palindrome (37566066573).

The spelling of 24234023331 in words is "twenty-four billion, two hundred thirty-four million, twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 61 63 79 183 237 427 549 553 711 1281 1659 3843 4819 4977 14457 33733 43371 79823 101199 239469 303597 558761 718407 1676283 4869203 5028849 6306017 14607609 18918051 34084421 43822827 44142119 56754153 102253263 132426357 306759789 384667037 397279071 1154001111 2692669259 3462003333 8078007777 24234023331