Search a number
-
+
329068590660 = 223355961169321
BaseRepresentation
bin1001100100111100000…
…01000011011001000100
31011110101100121102201000
410302132001003121010
520342413024400120
6411101053533300
732526424604145
oct4623601033104
91143340542630
10329068590660
11117614705747
12539384a4230
1325053250a04
1411cd99b5acc
15885e654990
hex4c9e043644

329068590660 has 192 divisors, whose sum is σ = 1058194771200. Its totient is φ = 84849638400.

The previous prime is 329068590647. The next prime is 329068590677. The reversal of 329068590660 is 66095860923.

It is a super-2 number, since 2×3290685906602 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 329068590597 and 329068590606.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1858800 + ... + 2028120.

It is an arithmetic number, because the mean of its divisors is an integer number (5511431100).

Almost surely, 2329068590660 is an apocalyptic number.

329068590660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329068590660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529097385600).

329068590660 is an abundant number, since it is smaller than the sum of its proper divisors (729126180540).

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

329068590660 is a wasteful number, since it uses less digits than its factorization.

329068590660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169459 (or 169451 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 329068590660 in words is "three hundred twenty-nine billion, sixty-eight million, five hundred ninety thousand, six hundred sixty".