Search a number
-
+
2342043000 = 2332531141577
BaseRepresentation
bin1000101110011000…
…1011110101111000
320001012222010000100
42023212023311320
514244030334000
61024222035400
7112016015463
oct21346136570
96035863010
102342043000
11aa2027630
12554418b60
132b42a587b
141830942da
15da928a00
hex8b98bd78

2342043000 has 384 divisors, whose sum is σ = 8861711040. Its totient is φ = 552960000.

The previous prime is 2342042993. The next prime is 2342043001. The reversal of 2342043000 is 3402432.

2342043000 is a `hidden beast` number, since 234 + 2 + 0 + 430 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342043001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4058712 + ... + 4059288.

Almost surely, 22342043000 is an apocalyptic number.

2342043000 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 2342043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4430855520).

2342043000 is an abundant number, since it is smaller than the sum of its proper divisors (6519668040).

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

2342043000 is a wasteful number, since it uses less digits than its factorization.

2342043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2342043000 is about 48394.6587961936. The cubic root of 2342043000 is about 1328.0006517029. Note that the first 3 decimals are identical.

Adding to 2342043000 its reverse (3402432), we get a palindrome (2345445432).

The spelling of 2342043000 in words is "two billion, three hundred forty-two million, forty-three thousand".