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234002043000 = 2332531119314013
BaseRepresentation
bin1101100111101110011…
…0111101000001111000
3211101000000010102210100
43121323212331001320
512313214010334000
6255255443515400
722622534355465
oct3317346750170
9741000112710
10234002043000
1190270064390
1239426988b60
13190b286c84b
14b47bc5266c
1561485c8a00
hex367b9bd078

234002043000 has 768 divisors, whose sum is σ = 937773158400. Its totient is φ = 51995520000.

The previous prime is 234002042999. The next prime is 234002043001. The reversal of 234002043000 is 340200432.

234002043000 is a `hidden beast` number, since 2 + 340 + 0 + 20 + 4 + 300 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (234002042999) and next prime (234002043001).

It is a super-2 number, since 2×2340020430002 (a number of 24 digits) contains 22 as substring.

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 (234002043001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58308994 + ... + 58313006.

It is an arithmetic number, because the mean of its divisors is an integer number (1221058800).

Almost surely, 2234002043000 is an apocalyptic number.

234002043000 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 234002043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468886579200).

234002043000 is an abundant number, since it is smaller than the sum of its proper divisors (703771115400).

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

234002043000 is a wasteful number, since it uses less digits than its factorization.

234002043000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4084 counting only the distinct ones).

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

Adding to 234002043000 its reverse (340200432), we get a palindrome (234342243432).

The spelling of 234002043000 in words is "two hundred thirty-four billion, two million, forty-three thousand".