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2338019640 = 233651137197
BaseRepresentation
bin1000101101011011…
…0101100100111000
320000221101201000000
42023112311210320
514242013112030
61023555513000
7111636560535
oct21326654470
96027351000
102338019640
11a9a829840
12552bb8760
132b34c7498
14182727d8c
15da3d1860
hex8b5b5938

2338019640 has 448 divisors, whose sum is σ = 8881630560. Its totient is φ = 548674560.

The previous prime is 2338019633. The next prime is 2338019729. The reversal of 2338019640 is 469108332.

2338019640 is a `hidden beast` number, since 2 + 3 + 3 + 8 + 0 + 1 + 9 + 640 = 666.

2338019640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2338019595 and 2338019604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11868022 + ... + 11868218.

Almost surely, 22338019640 is an apocalyptic number.

2338019640 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 2338019640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440815280).

2338019640 is an abundant number, since it is smaller than the sum of its proper divisors (6543610920).

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

2338019640 is a wasteful number, since it uses less digits than its factorization.

2338019640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2338019640 is about 48353.0727048447. The cubic root of 2338019640 is about 1327.2397651333.

The spelling of 2338019640 in words is "two billion, three hundred thirty-eight million, nineteen thousand, six hundred forty".