Base | Representation |
---|---|
bin | 1001101111011111000… |
… | …10100101011001100000 |
3 | 1012000000000000000000000 |
4 | 10313233202211121200 |
5 | 20441012203134441 |
6 | 413435021300000 |
7 | 33116645061123 |
oct | 4675742453140 |
9 | 1160000000000 |
10 | 334731302496 |
11 | 119a60103988 |
12 | 54a58a04600 |
13 | 25746494586 |
14 | 122b5aa63ba |
15 | 8a918652b6 |
hex | 4def8a5660 |
334731302496 has 132 divisors (see below), whose sum is σ = 988503377652. Its totient is φ = 111577100832.
The previous prime is 334731302491. The next prime is 334731302533. The reversal of 334731302496 is 694203137433.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
334731302496 is a `hidden beast` number, since 3 + 3 + 473 + 130 + 2 + 49 + 6 = 666.
It is a super-2 number, since 2×3347313024962 (a number of 24 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (334731302491) by changing a digit.
It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 111577100831 + 111577100832 + 111577100833.
Almost surely, 2334731302496 is an apocalyptic number.
334731302496 is a gapful number since it is divisible by the number (36) 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 334731302496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494251688826).
334731302496 is an abundant number, since it is smaller than the sum of its proper divisors (653772075156).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
334731302496 is an frugal number, since it uses more digits than its factorization.
334731302496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 73 (or 5 counting only the distinct ones).
The product of its (nonzero) digits is 979776, while the sum is 45.
The spelling of 334731302496 in words is "three hundred thirty-four billion, seven hundred thirty-one million, three hundred two thousand, four hundred ninety-six".
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