Base | Representation |
---|---|
bin | 10000010110110… |
… | …011110111000000 |
3 | 201010100201200000 |
4 | 100112303313000 |
5 | 1030222240130 |
6 | 43121400000 |
7 | 6541326564 |
oct | 2026636700 |
9 | 633321600 |
10 | 274415040 |
11 | 13099a099 |
12 | 77a99000 |
13 | 44b10583 |
14 | 286336a4 |
15 | 19158260 |
hex | 105b3dc0 |
274415040 has 168 divisors, whose sum is σ = 979109040. Its totient is φ = 73156608.
The previous prime is 274415017. The next prime is 274415041. The reversal of 274415040 is 40514472.
It is a super-3 number, since 3×2744150403 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 274414995 and 274415013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (274415041) 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 23 ways as a sum of consecutive naturals, for example, 75996 + ... + 79524.
It is an arithmetic number, because the mean of its divisors is an integer number (5828030).
Almost surely, 2274415040 is an apocalyptic number.
274415040 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 274415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489554520).
274415040 is an abundant number, since it is smaller than the sum of its proper divisors (704694000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
274415040 is an equidigital number, since it uses as much as digits as its factorization.
274415040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3561 (or 3539 counting only the distinct ones).
The product of its (nonzero) digits is 4480, while the sum is 27.
The square root of 274415040 is about 16565.4773550296. The cubic root of 274415040 is about 649.8343088522.
The spelling of 274415040 in words is "two hundred seventy-four million, four hundred fifteen thousand, forty".
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