Search a number
-
+
323441014032 = 24332332552437
BaseRepresentation
bin1001011010011101001…
…01100011010100010000
31010220212011022220212000
410231032211203110100
520244401344422112
6404330423234000
732240112154203
oct4551645432420
91126764286760
10323441014032
11115197025074
12528278a8900
132466738c606
141192442d93a
1586305847dc
hex4b4e963510

323441014032 has 80 divisors (see below), whose sum is σ = 968760554880. Its totient is φ = 103126117248.

The previous prime is 323441014019. The next prime is 323441014037. The reversal of 323441014032 is 230410144323.

323441014032 is a `hidden beast` number, since 3 + 234 + 410 + 14 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×3234410140322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 323441013987 and 323441014005.

It is not an unprimeable number, because it can be changed into a prime (323441014037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16266283 + ... + 16286154.

It is an arithmetic number, because the mean of its divisors is an integer number (12109506936).

Almost surely, 2323441014032 is an apocalyptic number.

It is an amenable number.

323441014032 is an abundant number, since it is smaller than the sum of its proper divisors (645319540848).

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

323441014032 is a wasteful number, since it uses less digits than its factorization.

323441014032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32552477 (or 32552465 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 323441014032 its reverse (230410144323), we get a palindrome (553851158355).

The spelling of 323441014032 in words is "three hundred twenty-three billion, four hundred forty-one million, fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 32552437 65104874 97657311 130209748 195314622 260419496 292971933 390629244 520838992 585943866 748706051 781258488 878915799 1171887732 1497412102 1562516976 1757831598 2246118153 2343775464 2994824204 3515663196 4492236306 4687550928 5989648408 6738354459 7031326392 8984472612 11979296816 13476708918 14062652784 17968945224 20215063377 26953417836 35937890448 40430126754 53906835672 80860253508 107813671344 161720507016 323441014032