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423396288 = 26337172971
BaseRepresentation
bin11001001111001…
…000001111000000
31002111200202112000
4121033020033000
51331342140123
6110002504000
713330544340
oct3117101700
91074622460
10423396288
111a7aa5997
12b9965000
1369943863
1440334d20
1527285b43
hex193c83c0

423396288 has 448 divisors, whose sum is σ = 1580083200. Its totient is φ = 108380160.

The previous prime is 423396263. The next prime is 423396293. The reversal of 423396288 is 882693324.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

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, 5963293 + ... + 5963363.

Almost surely, 2423396288 is an apocalyptic number.

423396288 is a gapful number since it is divisible by the number (48) 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 423396288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790041600).

423396288 is an abundant number, since it is smaller than the sum of its proper divisors (1156686912).

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

423396288 is a wasteful number, since it uses less digits than its factorization.

423396288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 423396288 is about 20576.5956367908. The cubic root of 423396288 is about 750.9004225530.

The spelling of 423396288 in words is "four hundred twenty-three million, three hundred ninety-six thousand, two hundred eighty-eight".