Search a number
-
+
326434468512 = 2533400359047
BaseRepresentation
bin1001100000000010000…
…00101011001010100000
31011012120210001011102110
410300001000223022200
520322014210443022
6405543435315320
732404231125555
oct4600100531240
91135523034373
10326434468512
11116492824799
12533222abb40
1324a235c1759
1411b29c10a2c
15875828400c
hex4c0102b2a0

326434468512 has 24 divisors (see below), whose sum is σ = 856890480096. Its totient is φ = 108811489472.

The previous prime is 326434468499. The next prime is 326434468553. The reversal of 326434468512 is 215864434623.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1700179428 + ... + 1700179619.

It is an arithmetic number, because the mean of its divisors is an integer number (35703770004).

Almost surely, 2326434468512 is an apocalyptic number.

326434468512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

326434468512 is an abundant number, since it is smaller than the sum of its proper divisors (530456011584).

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

326434468512 is a wasteful number, since it uses less digits than its factorization.

326434468512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400359060 (or 3400359052 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The spelling of 326434468512 in words is "three hundred twenty-six billion, four hundred thirty-four million, four hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3400359047 6800718094 10201077141 13601436188 20402154282 27202872376 40804308564 54405744752 81608617128 108811489504 163217234256 326434468512