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423160416 = 25337313761
BaseRepresentation
bin11001001110001…
…110101001100000
31002111020202222000
4121032032221200
51331312113131
6105553444000
713325542560
oct3116165140
91074222860
10423160416
111a7954758
12b9870600
13698903a3
14402b2da0
152723ace6
hex1938ea60

423160416 has 384 divisors, whose sum is σ = 1519902720. Its totient is φ = 111974400.

The previous prime is 423160391. The next prime is 423160433. The reversal of 423160416 is 614061324.

423160416 is a `hidden beast` number, since 42 + 3 + 1 + 604 + 16 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 423160416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6937026 + ... + 6937086.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 2423160416 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 423160416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759951360).

423160416 is an abundant number, since it is smaller than the sum of its proper divisors (1096742304).

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

423160416 is a wasteful number, since it uses less digits than its factorization.

423160416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

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

The square root of 423160416 is about 20570.8632779473. The cubic root of 423160416 is about 750.7609556675.

The spelling of 423160416 in words is "four hundred twenty-three million, one hundred sixty thousand, four hundred sixteen".