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4344432480 = 2532583163223
BaseRepresentation
bin1000000101111001…
…01100011101100000
3102012202211000222200
410002330230131200
532344133314410
61555032133200
7212442031623
oct40274543540
912182730880
104344432480
11192a356473
12a12b37200
135430a870b
142d2db1dba
151a660e3c0
hex102f2c760

4344432480 has 288 divisors, whose sum is σ = 15163739136. Its totient is φ = 1132434432.

The previous prime is 4344432439. The next prime is 4344432527. The reversal of 4344432480 is 842344434.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19481649 + ... + 19481871.

It is an arithmetic number, because the mean of its divisors is an integer number (52651872).

Almost surely, 24344432480 is an apocalyptic number.

4344432480 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 4344432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7581869568).

4344432480 is an abundant number, since it is smaller than the sum of its proper divisors (10819306656).

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

4344432480 is a wasteful number, since it uses less digits than its factorization.

4344432480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 4344432480 is about 65912.3090173603. The cubic root of 4344432480 is about 1631.7151679961.

The spelling of 4344432480 in words is "four billion, three hundred forty-four million, four hundred thirty-two thousand, four hundred eighty".