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423688320 = 2734511743
BaseRepresentation
bin11001010000001…
…111100010000000
31002112020121010000
4121100033202000
51331431011240
6110013040000
713333201626
oct3120174200
91075217100
10423688320
111a8185340
12b9a86000
1369a16763
14403ad516
15272e2430
hex1940f880

423688320 has 320 divisors, whose sum is σ = 1652840640. Its totient is φ = 102574080.

The previous prime is 423688303. The next prime is 423688339. The reversal of 423688320 is 23886324.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 569869 + ... + 570611.

It is an arithmetic number, because the mean of its divisors is an integer number (5165127).

Almost surely, 2423688320 is an apocalyptic number.

423688320 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 423688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826420320).

423688320 is an abundant number, since it is smaller than the sum of its proper divisors (1229152320).

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

423688320 is a wasteful number, since it uses less digits than its factorization.

423688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 423688320 is about 20583.6906311769. The cubic root of 423688320 is about 751.0730240936.

The spelling of 423688320 in words is "four hundred twenty-three million, six hundred eighty-eight thousand, three hundred twenty".