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2338999104 = 2631319313743
BaseRepresentation
bin1000101101101010…
…0100101101000000
320001000020110120110
42023122210231000
514242240432404
61024032511320
7111651110241
oct21332445500
96030213513
102338999104
11aa0338712
125533ab540
132b377b250
14182900cc8
15da526b89
hex8b6a4b40

2338999104 has 448 divisors, whose sum is σ = 7610408960. Its totient is φ = 627056640.

The previous prime is 2338999081. The next prime is 2338999109. The reversal of 2338999104 is 4019998332.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338999109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54395307 + ... + 54395349.

It is an arithmetic number, because the mean of its divisors is an integer number (16987520).

Almost surely, 22338999104 is an apocalyptic number.

2338999104 is a gapful number since it is divisible by the number (24) 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 2338999104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805204480).

2338999104 is an abundant number, since it is smaller than the sum of its proper divisors (5271409856).

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

2338999104 is a wasteful number, since it uses less digits than its factorization.

2338999104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 2338999104 is about 48363.1998941344. The cubic root of 2338999104 is about 1327.4250789570.

The spelling of 2338999104 in words is "two billion, three hundred thirty-eight million, nine hundred ninety-nine thousand, one hundred four".