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230304343014 = 236941167863
BaseRepresentation
bin1101011001111100110…
…1010110001111100110
3211000110022020211000000
43112133031112033212
512233130402434024
6253444513202130
722432104421164
oct3263715261746
9730408224000
10230304343014
1189742885689
1238774560346
1318943772aa5
14b20ab10234
155ecdb68cc9
hex359f3563e6

230304343014 has 56 divisors (see below), whose sum is σ = 518501344752. Its totient is φ = 76686076080.

The previous prime is 230304342899. The next prime is 230304343033. The reversal of 230304343014 is 410343403032.

230304343014 is a `hidden beast` number, since 2 + 3 + 0 + 304 + 343 + 0 + 14 = 666.

It is a super-2 number, since 2×2303043430142 (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 congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 1288047 + ... + 1455909.

Almost surely, 2230304343014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230304343014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259250672376).

230304343014 is an abundant number, since it is smaller than the sum of its proper divisors (288197001738).

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

230304343014 is an equidigital number, since it uses as much as digits as its factorization.

230304343014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168824 (or 168809 counting only the distinct ones).

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

Adding to 230304343014 its reverse (410343403032), we get a palindrome (640647746046).

The spelling of 230304343014 in words is "two hundred thirty billion, three hundred four million, three hundred forty-three thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 941 1458 1882 2823 5646 8469 16938 25407 50814 76221 152442 167863 228663 335726 457326 503589 685989 1007178 1371978 1510767 3021534 4532301 9064602 13596903 27193806 40790709 81581418 122372127 157959083 244744254 315918166 473877249 947754498 1421631747 2843263494 4264895241 8529790482 12794685723 25589371446 38384057169 76768114338 115152171507 230304343014