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2334812040 = 233651129251
BaseRepresentation
bin1000101100101010…
…0110011110001000
320000201100202000000
42023022212132020
514240202441130
61023403043000
7111600401121
oct21312463610
96021322000
102334812040
11a98a38930
12551b10460
132b29434b2
14182131048
15d9e9b260
hex8b2a6788

2334812040 has 448 divisors, whose sum is σ = 8924126400. Its totient is φ = 544320000.

The previous prime is 2334812033. The next prime is 2334812059. The reversal of 2334812040 is 402184332.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2334811995 and 2334812013.

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, 9301915 + ... + 9302165.

It is an arithmetic number, because the mean of its divisors is an integer number (19919925).

Almost surely, 22334812040 is an apocalyptic number.

2334812040 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 2334812040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462063200).

2334812040 is an abundant number, since it is smaller than the sum of its proper divisors (6589314360).

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

2334812040 is a wasteful number, since it uses less digits than its factorization.

2334812040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2334812040 is about 48319.8927978943. The cubic root of 2334812040 is about 1326.6325272002.

Adding to 2334812040 its reverse (402184332), we get a palindrome (2736996372).

The spelling of 2334812040 in words is "two billion, three hundred thirty-four million, eight hundred twelve thousand, forty".