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2342007000 = 233353127683
BaseRepresentation
bin1000101110011000…
…0011000011011000
320001012220021122000
42023212003003120
514244023211000
61024221201000
7112015505514
oct21346030330
96035807560
102342007000
11aa2002583
12554400160
132b4292378
14183085144
15da91d000
hex8b9830d8

2342007000 has 256 divisors, whose sum is σ = 8194867200. Its totient is φ = 618710400.

The previous prime is 2342006981. The next prime is 2342007001. The reversal of 2342007000 is 7002432.

It is a happy number.

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 (2342007001) 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, 3428659 + ... + 3429341.

It is an arithmetic number, because the mean of its divisors is an integer number (32011200).

Almost surely, 22342007000 is an apocalyptic number.

2342007000 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 2342007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097433600).

2342007000 is an abundant number, since it is smaller than the sum of its proper divisors (5852860200).

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

2342007000 is a wasteful number, since it uses less digits than its factorization.

2342007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2342007000 is about 48394.2868528920. The cubic root of 2342007000 is about 1327.9938473490.

Adding to 2342007000 its reverse (7002432), we get a palindrome (2349009432).

The spelling of 2342007000 in words is "two billion, three hundred forty-two million, seven thousand".