Search a number
-
+
2338897920 = 2143531307
BaseRepresentation
bin1000101101101000…
…1100000000000000
320001000001022202220
42023122030000000
514242224213140
61024030411040
7111650206242
oct21332140000
96030038686
102338897920
11aa0279697
12553360a80
132b3744188
141828b6092
15da506bd0
hex8b68c000

2338897920 has 240 divisors, whose sum is σ = 7750837248. Its totient is φ = 601620480.

The previous prime is 2338897901. The next prime is 2338897933. The reversal of 2338897920 is 297988332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7618407 + ... + 7618713.

Almost surely, 22338897920 is an apocalyptic number.

2338897920 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 2338897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875418624).

2338897920 is an abundant number, since it is smaller than the sum of its proper divisors (5411939328).

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

2338897920 is an equidigital number, since it uses as much as digits as its factorization.

2338897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 2338897920 is about 48362.1537981922. The cubic root of 2338897920 is about 1327.4059374196.

The spelling of 2338897920 in words is "two billion, three hundred thirty-eight million, eight hundred ninety-seven thousand, nine hundred twenty".