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668329488 = 24338591801
BaseRepresentation
bin100111110101011…
…110011000010000
31201120120122201000
4213311132120100
52332043020423
6150152342000
722363464321
oct4765363020
91646518630
10668329488
11313288922
121679a4900
13a8600c48
1464a92448
153da18843
hex27d5e610

668329488 has 80 divisors (see below), whose sum is σ = 1921652800. Its totient is φ = 222393600.

The previous prime is 668329451. The next prime is 668329513. The reversal of 668329488 is 884923866.

668329488 is a `hidden beast` number, since 66 + 83 + 29 + 488 = 666.

668329488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370188 + ... + 371988.

It is an arithmetic number, because the mean of its divisors is an integer number (24020660).

Almost surely, 2668329488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668329488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960826400).

668329488 is an abundant number, since it is smaller than the sum of its proper divisors (1253323312).

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

668329488 is a wasteful number, since it uses less digits than its factorization.

668329488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2665 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 668329488 is about 25852.0693175614. The cubic root of 668329488 is about 874.3061658312.

The spelling of 668329488 in words is "six hundred sixty-eight million, three hundred twenty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 859 1718 1801 2577 3436 3602 5154 5403 6872 7204 7731 10308 10806 13744 14408 15462 16209 20616 21612 23193 28816 30924 32418 41232 43224 46386 48627 61848 64836 86448 92772 97254 123696 129672 185544 194508 259344 371088 389016 778032 1547059 3094118 4641177 6188236 9282354 12376472 13923531 18564708 24752944 27847062 37129416 41770593 55694124 74258832 83541186 111388248 167082372 222776496 334164744 668329488