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300327742000 = 2453111337101281
BaseRepresentation
bin1000101111011001110…
…11011010101000110000
31001201012100122001020201
410113230323122220300
514410032400221000
6345545121444544
730461254454356
oct4275473325060
91051170561221
10300327742000
111064061a9760
124a2571a0754
13224229c09a0
14107708977d6
157c2b34c96a
hex45ecedaa30

300327742000 has 640 divisors, whose sum is σ = 888031662336. Its totient is φ = 96768000000.

The previous prime is 300327741983. The next prime is 300327742003. The reversal of 300327742000 is 247723003.

It is a super-2 number, since 2×3003277420002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 300327742000.

It is not an unprimeable number, because it can be changed into a prime (300327742003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1068781860 + ... + 1068782140.

Almost surely, 2300327742000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300327742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444015831168).

300327742000 is an abundant number, since it is smaller than the sum of its proper divisors (587703920336).

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

300327742000 is a wasteful number, since it uses less digits than its factorization.

300327742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The spelling of 300327742000 in words is "three hundred billion, three hundred twenty-seven million, seven hundred forty-two thousand".