Search a number
-
+
423319680 = 27325710499
BaseRepresentation
bin11001001110110…
…101100010000000
31002111112212102200
4121032311202000
51331332212210
6110001113200
713330105110
oct3116654200
91074485380
10423319680
111a7a53383
12b9928800
1369917a24
1440315040
152726d0c0
hex193b5880

423319680 has 192 divisors, whose sum is σ = 1670760000. Its totient is φ = 96749568.

The previous prime is 423319621. The next prime is 423319681. The reversal of 423319680 is 86913324.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (423319681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35071 + ... + 45569.

It is an arithmetic number, because the mean of its divisors is an integer number (8701875).

Almost surely, 2423319680 is an apocalyptic number.

423319680 is a gapful number since it is divisible by the number (40) 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 423319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835380000).

423319680 is an abundant number, since it is smaller than the sum of its proper divisors (1247440320).

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

423319680 is a wasteful number, since it uses less digits than its factorization.

423319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10531 (or 10516 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 423319680 is about 20574.7340201520. The cubic root of 423319680 is about 750.8551312967.

The spelling of 423319680 in words is "four hundred twenty-three million, three hundred nineteen thousand, six hundred eighty".