Search a number
-
+
320034430023 = 371110157124023
BaseRepresentation
bin1001010100000111000…
…10011101110001000111
31010121001202020112002220
410222003202131301013
520220412303230043
6403004412303423
732056515525330
oct4520342356107
91117052215086
10320034430023
111137a9102090
1252036a71b73
132424369ca29
14116bdc2b287
1584d147b483
hex4a8389dc47

320034430023 has 64 divisors (see below), whose sum is σ = 538236002304. Its totient is φ = 164310480000.

The previous prime is 320034429941. The next prime is 320034430061.

320034430023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320034430023 - 29 = 320034429511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320034429975 and 320034430002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320034430123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13309990 + ... + 13334012.

It is an arithmetic number, because the mean of its divisors is an integer number (8409937536).

Almost surely, 2320034430023 is an apocalyptic number.

320034430023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

320034430023 is a deficient number, since it is larger than the sum of its proper divisors (218201572281).

320034430023 is a wasteful number, since it uses less digits than its factorization.

320034430023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24716.

The product of its (nonzero) digits is 5184, while the sum is 24.

It can be divided in two parts, 320034 and 430023, that added together give a palindrome (750057).

The spelling of 320034430023 in words is "three hundred twenty billion, thirty-four million, four hundred thirty thousand, twenty-three".

Divisors: 1 3 7 11 21 33 77 101 231 303 571 707 1111 1713 2121 3333 3997 6281 7777 11991 18843 23331 24023 43967 57671 72069 131901 168161 173013 264253 403697 504483 634381 792759 1211091 1849771 1903143 2426323 4440667 5549313 7278969 13322001 13717133 16984261 26689553 41151399 50952783 80068659 96019931 150888463 186826871 288059793 452665389 560480613 1056219241 1385430433 3168657723 4156291299 9698013031 15239734763 29094039093 45719204289 106678143341 320034430023