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234080170240 = 2857196122541
BaseRepresentation
bin1101101000000001000…
…0111111000100000000
3211101012110010201012211
43122000100333010000
512313344010421430
6255311314231504
722624503421630
oct3320020770400
9741173121184
10234080170240
1190300176554
1239448b85594
13190c5ac5697
14b48838c6c0
1561503ac72a
hex368043f100

234080170240 has 288 divisors, whose sum is σ = 685608618240. Its totient is φ = 74782310400.

The previous prime is 234080170237. The next prime is 234080170309. The reversal of 234080170240 is 42071080432.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10373370 + ... + 10395910.

It is an arithmetic number, because the mean of its divisors is an integer number (2380585480).

Almost surely, 2234080170240 is an apocalyptic number.

234080170240 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 234080170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342804309120).

234080170240 is an abundant number, since it is smaller than the sum of its proper divisors (451528448000).

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

234080170240 is a wasteful number, since it uses less digits than its factorization.

234080170240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22649 (or 22635 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 234080170240 in words is "two hundred thirty-four billion, eighty million, one hundred seventy thousand, two hundred forty".