Search a number
-
+
320339909376 = 28361716499
BaseRepresentation
bin1001010100101011011…
…11110001101100000000
31010121212001001111000000
410222111233301230000
520222024004100001
6403055004000000
732100215205564
oct4522557615400
91117761044000
10320339909376
11113945589263
1252101230000
1324291a68846
141170c6296a4
1584ed1bda86
hex4a95bf1b00

320339909376 has 126 divisors (see below), whose sum is σ = 958704729500. Its totient is φ = 106779907584.

The previous prime is 320339909363. The next prime is 320339909399. The reversal of 320339909376 is 673909933023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 671626 + ... + 1044873.

Almost surely, 2320339909376 is an apocalyptic number.

320339909376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

320339909376 is an abundant number, since it is smaller than the sum of its proper divisors (638364820124).

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

320339909376 is an frugal number, since it uses more digits than its factorization.

320339909376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716533 (or 1716504 counting only the distinct ones).

The product of its (nonzero) digits is 4960116, while the sum is 54.

It can be divided in two parts, 32033 and 9909376, that added together give a square (9941409 = 31532).

The spelling of 320339909376 in words is "three hundred twenty billion, three hundred thirty-nine million, nine hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2304 2592 2916 3456 3888 5184 5832 6912 7776 10368 11664 15552 20736 23328 31104 46656 62208 93312 186624 1716499 3432998 5149497 6865996 10298994 13731992 15448491 20597988 27463984 30896982 41195976 46345473 54927968 61793964 82391952 92690946 109855936 123587928 139036419 164783904 185381892 219711872 247175856 278072838 329567808 370763784 417109257 439423744 494351712 556145676 659135616 741527568 834218514 988703424 1112291352 1251327771 1318271232 1483055136 1668437028 1977406848 2224582704 2502655542 2966110272 3336874056 3954813696 4449165408 5005311084 5932220544 6673748112 8898330816 10010622168 11864441088 13347496224 17796661632 20021244336 26694992448 35593323264 40042488672 53389984896 80084977344 106779969792 160169954688 320339909376