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423373440 = 27357172109
BaseRepresentation
bin11001001111000…
…010101010000000
31002111122121011210
4121033002222000
51331340422230
6110002210120
713330420620
oct3117025200
91074577153
10423373440
111a7a8a806
12b9953940
1369936339
144032a880
152727deb0
hex193c2a80

423373440 has 384 divisors, whose sum is σ = 1653379200. Its totient is φ = 90243072.

The previous prime is 423373369. The next prime is 423373441. The reversal of 423373440 is 44373324.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 423373398 and 423373407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423373441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3884106 + ... + 3884214.

It is an arithmetic number, because the mean of its divisors is an integer number (4305675).

Almost surely, 2423373440 is an apocalyptic number.

423373440 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 423373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826689600).

423373440 is an abundant number, since it is smaller than the sum of its proper divisors (1230005760).

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

423373440 is a wasteful number, since it uses less digits than its factorization.

423373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 30.

The square root of 423373440 is about 20576.0404354191. The cubic root of 423373440 is about 750.8869152062.

The spelling of 423373440 in words is "four hundred twenty-three million, three hundred seventy-three thousand, four hundred forty".