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423830016 = 2933233143
BaseRepresentation
bin11001010000110…
…010001000000000
31002112111210111000
4121100302020000
51332000030031
6110020052000
713334332011
oct3120621000
91075453430
10423830016
111a8271845
12b9b34000
1369a660bc
1440409008
152731e3e6
hex19432200

423830016 has 320 divisors, whose sum is σ = 1382768640. Its totient is φ = 127733760.

The previous prime is 423829999. The next prime is 423830021. The reversal of 423830016 is 610038324.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9856491 + ... + 9856533.

It is an arithmetic number, because the mean of its divisors is an integer number (4321152).

Almost surely, 2423830016 is an apocalyptic number.

423830016 is a gapful number since it is divisible by the number (46) 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 423830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691384320).

423830016 is an abundant number, since it is smaller than the sum of its proper divisors (958938624).

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

423830016 is a wasteful number, since it uses less digits than its factorization.

423830016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

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

The square root of 423830016 is about 20587.1322917982. The cubic root of 423830016 is about 751.1567430103.

The spelling of 423830016 in words is "four hundred twenty-three million, eight hundred thirty thousand, sixteen".