| Base | Representation |
|---|---|
| bin | 11111111001110000… |
| … | …000001100010000000 |
| 3 | 10021102021121120010000 |
| 4 | 133321300001202000 |
| 5 | 1030123222341130 |
| 6 | 23423025040000 |
| 7 | 2321603510223 |
| oct | 377160014200 |
| 9 | 107367546100 |
| 10 | 34254887040 |
| 11 | 13588a99700 |
| 12 | 677ba86000 |
| 13 | 32cba4a73a |
| 14 | 192d58b5ba |
| 15 | d5744b260 |
| hex | 7f9c01880 |
34254887040 has 960 divisors, whose sum is σ = 138672737280. Its totient is φ = 8047226880.
The previous prime is 34254887039. The next prime is 34254887041. The reversal of 34254887040 is 4078845243.
It is a happy number.
34254887040 is a `hidden beast` number, since 34 + 2 + 548 + 8 + 70 + 4 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (34254887039) and next prime (34254887041).
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-2 number, since 2×342548870402 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (34254887041) by changing a digit.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 269723457 + ... + 269723583.
It is an arithmetic number, because the mean of its divisors is an integer number (144450768).
Almost surely, 234254887040 is an apocalyptic number.
34254887040 is a gapful number since it is divisible by the number (30) 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 34254887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69336368640).
34254887040 is an abundant number, since it is smaller than the sum of its proper divisors (104417850240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34254887040 is a wasteful number, since it uses less digits than its factorization.
34254887040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 223 (or 191 counting only the distinct ones).
The product of its (nonzero) digits is 860160, while the sum is 45.
The spelling of 34254887040 in words is "thirty-four billion, two hundred fifty-four million, eight hundred eighty-seven thousand, forty".
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