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423164160 = 28325109337
BaseRepresentation
bin11001001110001…
…111100100000000
31002111020222002200
4121032033210000
51331312223120
6105553513200
713325556516
oct3116174400
91074228080
10423164160
111a7957551
12b9872800
1369891cc3
14402b44b6
152723be90
hex1938f900

423164160 has 216 divisors, whose sum is σ = 1481920440. Its totient is φ = 111476736.

The previous prime is 423164113. The next prime is 423164179. The reversal of 423164160 is 61461324.

It can be written as a sum of positive squares in 4 ways, for example, as 37748736 + 385415424 = 6144^2 + 19632^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1255512 + ... + 1255848.

Almost surely, 2423164160 is an apocalyptic number.

423164160 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 423164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740960220).

423164160 is an abundant number, since it is smaller than the sum of its proper divisors (1058756280).

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

423164160 is a wasteful number, since it uses less digits than its factorization.

423164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 423164160 is about 20570.9542802467. The cubic root of 423164160 is about 750.7631698323.

It can be divided in two parts, 423164 and 160, that added together give a palindrome (423324).

The spelling of 423164160 in words is "four hundred twenty-three million, one hundred sixty-four thousand, one hundred sixty".