Search a number
-
+
324106464 = 25311306919
BaseRepresentation
bin10011010100010…
…111100011100000
3211120212022111010
4103110113203200
51130432401324
652054420520
711013600543
oct2324274340
9746768433
10324106464
11156a49a90
1290661740
13521bb396
143108a85a
151d6c1829
hex135178e0

324106464 has 48 divisors (see below), whose sum is σ = 928126080. Its totient is φ = 98213760.

The previous prime is 324106463. The next prime is 324106493. The reversal of 324106464 is 464601423.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324106463) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 152404 + ... + 154515.

It is an arithmetic number, because the mean of its divisors is an integer number (19335960).

Almost surely, 2324106464 is an apocalyptic number.

It is an amenable number.

324106464 is an abundant number, since it is smaller than the sum of its proper divisors (604019616).

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

324106464 is a wasteful number, since it uses less digits than its factorization.

324106464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306943 (or 306935 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 324106464 is about 18002.9570904338. The cubic root of 324106464 is about 686.9037662178.

Adding to 324106464 its reverse (464601423), we get a palindrome (788707887).

The spelling of 324106464 in words is "three hundred twenty-four million, one hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 306919 613838 920757 1227676 1841514 2455352 3376109 3683028 4910704 6752218 7366056 9821408 10128327 13504436 14732112 20256654 27008872 29464224 40513308 54017744 81026616 108035488 162053232 324106464