Search a number
-
+
330240433034320 = 24516782793298559
BaseRepresentation
bin100101100010110100001011…
…1101100111001010001010000
31121022021200021120210222202021
41023011220113230321101100
5321241124401324044240
63130210205513501224
7126363040534222654
oct11305502754712120
91538250246728667
10330240433034320
11962521aa108916
1231056984a11814
13112367018521c3
145b79a17b94a64
15282a4a15d054a
hex12c5a17b39450

330240433034320 has 80 divisors (see below), whose sum is σ = 772418582046720. Its totient is φ = 131303152428032.

The previous prime is 330240433034287. The next prime is 330240433034327. The reversal of 330240433034320 is 23430334042033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3302404330343202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330240433034327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105965201 + ... + 1106263759.

It is an arithmetic number, because the mean of its divisors is an integer number (9655232275584).

Almost surely, 2330240433034320 is an apocalyptic number.

It is an amenable number.

330240433034320 is an abundant number, since it is smaller than the sum of its proper divisors (442178149012400).

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

330240433034320 is a wasteful number, since it uses less digits than its factorization.

330240433034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381532 (or 381526 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 34.

Adding to 330240433034320 its reverse (23430334042033), we get a palindrome (353670767076353).

The spelling of 330240433034320 in words is "three hundred thirty trillion, two hundred forty billion, four hundred thirty-three million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6680 13360 82793 165586 298559 331172 413965 597118 662344 827930 1194236 1324688 1492795 1655860 2388472 2985590 3311720 4776944 5971180 6623440 11942360 13826431 23884720 27652862 49859353 55305724 69132155 99718706 110611448 138264310 199437412 221222896 249296765 276528620 398874824 498593530 553057240 797749648 997187060 1106114480 1994374120 3988748240 24718595287 49437190574 98874381148 123592976435 197748762296 247185952870 395497524592 494371905740 988743811480 1977487622960 4128005412929 8256010825858 16512021651716 20640027064645 33024043303432 41280054129290 66048086606864 82560108258580 165120216517160 330240433034320