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2338406880 = 253529315419
BaseRepresentation
bin1000101101100001…
…0100000111100000
320000222010101012020
42023120110013200
514242113010010
61024012101440
7111643062525
oct21330240740
96028111166
102338406880
11a9aa73777
12553164880
132b3601814
141827c914c
15da45b470
hex8b6141e0

2338406880 has 192 divisors, whose sum is σ = 7867238400. Its totient is φ = 582543360.

The previous prime is 2338406773. The next prime is 2338406929. The reversal of 2338406880 is 886048332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428811 + ... + 434229.

It is an arithmetic number, because the mean of its divisors is an integer number (40975200).

Almost surely, 22338406880 is an apocalyptic number.

2338406880 is a gapful number since it is divisible by the number (20) 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 2338406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933619200).

2338406880 is an abundant number, since it is smaller than the sum of its proper divisors (5528831520).

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

2338406880 is a wasteful number, since it uses less digits than its factorization.

2338406880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5497 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2338406880 is about 48357.0768347302. The cubic root of 2338406880 is about 1327.3130368237.

The spelling of 2338406880 in words is "two billion, three hundred thirty-eight million, four hundred six thousand, eight hundred eighty".