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423884340 = 2237511881
BaseRepresentation
bin11001010000111…
…111011000110100
31002112121120000000
4121100333120310
51332003244330
6110021151300
713334646255
oct3120773064
91075546000
10423884340
111a82a9640
12b9b5b530
1369a84a49
1440420b2c
1527330560
hex1943f634

423884340 has 192 divisors, whose sum is σ = 1458051840. Its totient is φ = 102643200.

The previous prime is 423884333. The next prime is 423884347. The reversal of 423884340 is 43488324.

423884340 is a `hidden beast` number, since 4 + 238 + 84 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (423884333) and next prime (423884347).

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

It is a junction number, because it is equal to n+sod(n) for n = 423884295 and 423884304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423884347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480700 + ... + 481580.

It is an arithmetic number, because the mean of its divisors is an integer number (7594020).

Almost surely, 2423884340 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 423884340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729025920).

423884340 is an abundant number, since it is smaller than the sum of its proper divisors (1034167500).

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

423884340 is a wasteful number, since it uses less digits than its factorization.

423884340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 423884340 is about 20588.4516173509. The cubic root of 423884340 is about 751.1888345675.

The spelling of 423884340 in words is "four hundred twenty-three million, eight hundred eighty-four thousand, three hundred forty".