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323461310164 = 221737532425693
BaseRepresentation
bin1001011010011111100…
…10111110011011010100
31010220220120112001220121
410231033302332123110
520244422043411124
6404332430241324
732240446525456
oct4551762763324
91126816461817
10323461310164
111151a7527933
1252832656244
132466b647765
1411926dd42d6
1586322432e4
hex4b4fcbe6d4

323461310164 has 48 divisors (see below), whose sum is σ = 627168035088. Its totient is φ = 145308653568.

The previous prime is 323461310143. The next prime is 323461310167. The reversal of 323461310164 is 461013164323.

It can be written as a sum of positive squares in 8 ways, for example, as 185121946564 + 138339363600 = 430258^2 + 371940^2 .

It is a super-2 number, since 2×3234613101642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323461310167) 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 15 ways as a sum of consecutive naturals, for example, 1079499 + ... + 1346194.

It is an arithmetic number, because the mean of its divisors is an integer number (13066000731).

Almost surely, 2323461310164 is an apocalyptic number.

323461310164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

323461310164 is a deficient number, since it is larger than the sum of its proper divisors (303706724924).

323461310164 is a wasteful number, since it uses less digits than its factorization.

323461310164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425804 (or 2425802 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 323461310164 its reverse (461013164323), we get a palindrome (784474474487).

The spelling of 323461310164 in words is "three hundred twenty-three billion, four hundred sixty-one million, three hundred ten thousand, one hundred sixty-four".

Divisors: 1 2 4 17 34 37 53 68 74 106 148 212 629 901 1258 1802 1961 2516 3604 3922 7844 33337 66674 133348 2425693 4851386 9702772 41236781 82473562 89750641 128561729 164947124 179501282 257123458 359002564 514246916 1525760897 2185549393 3051521794 4371098786 4756783973 6103043588 8742197572 9513567946 19027135892 80865327541 161730655082 323461310164