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423904320 = 26335743163
BaseRepresentation
bin11001010001000…
…100010001000000
31002112122120102000
4121101010101000
51332004414240
6110021424000
713335061440
oct3121042100
91075576360
10423904320
111a8312654
12b9b6b000
1369a90b78
1440428120
1527336430
hex19444440

423904320 has 448 divisors, whose sum is σ = 1759549440. Its totient is φ = 94058496.

The previous prime is 423904291. The next prime is 423904381. The reversal of 423904320 is 23409324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 2600559 + ... + 2600721.

Almost surely, 2423904320 is an apocalyptic number.

423904320 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 423904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879774720).

423904320 is an abundant number, since it is smaller than the sum of its proper divisors (1335645120).

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

423904320 is a wasteful number, since it uses less digits than its factorization.

423904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 423904320 is about 20588.9368351064. The cubic root of 423904320 is about 751.2006369356.

The spelling of 423904320 in words is "four hundred twenty-three million, nine hundred four thousand, three hundred twenty".