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423512064 = 211352337
BaseRepresentation
bin11001001111100…
…100100000000000
31002111220122100000
4121033210200000
51331404341224
6110005200000
713331536023
oct3117444000
91074818300
10423512064
111a8074978
12b9a00000
1369984471
14403651ba
15272aa0c9
hex193e4800

423512064 has 288 divisors, whose sum is σ = 1359408960. Its totient is φ = 131383296.

The previous prime is 423512039. The next prime is 423512069. The reversal of 423512064 is 460215324.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (423512069) 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, 11446254 + ... + 11446290.

It is an arithmetic number, because the mean of its divisors is an integer number (4720170).

Almost surely, 2423512064 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 423512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679704480).

423512064 is an abundant number, since it is smaller than the sum of its proper divisors (935896896).

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

423512064 is an equidigital number, since it uses as much as digits as its factorization.

423512064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 423512064 is about 20579.4087378622. The cubic root of 423512064 is about 750.9688598751.

Adding to 423512064 its reverse (460215324), we get a palindrome (883727388).

The spelling of 423512064 in words is "four hundred twenty-three million, five hundred twelve thousand, sixty-four".