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423977400 = 23325272111923
BaseRepresentation
bin11001010001010…
…110000110111000
31002112210021122200
4121101112012320
51332014234100
6110023150200
713335514500
oct3121260670
91075707580
10423977400
111a8362550
12b9ba5360
1369ab8202
1440446a00
152734ce00
hex194561b8

423977400 has 864 divisors, whose sum is σ = 1984694400. Its totient is φ = 79833600.

The previous prime is 423977371. The next prime is 423977417. The reversal of 423977400 is 4779324.

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

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 215 ways as a sum of consecutive naturals, for example, 18433789 + ... + 18433811.

It is an arithmetic number, because the mean of its divisors is an integer number (2297100).

Almost surely, 2423977400 is an apocalyptic number.

423977400 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 423977400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992347200).

423977400 is an abundant number, since it is smaller than the sum of its proper divisors (1560717000).

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

423977400 is a wasteful number, since it uses less digits than its factorization.

423977400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 423977400 is about 20590.7114981489. The cubic root of 423977400 is about 751.2438027992.

The spelling of 423977400 in words is "four hundred twenty-three million, nine hundred seventy-seven thousand, four hundred".