| Base | Representation |
|---|---|
| bin | 1010001011000100011… |
| … | …10111101100110100000 |
| 3 | 1020102020002000011020000 |
| 4 | 11011202032331212200 |
| 5 | 21211324323043410 |
| 6 | 424324320420000 |
| 7 | 34152636502410 |
| oct | 5054216754640 |
| 9 | 1212202004200 |
| 10 | 349540440480 |
| 11 | 12526a5144a0 |
| 12 | 578b0477600 |
| 13 | 26c6660570a |
| 14 | 12cbc806640 |
| 15 | 915ba27dc0 |
| hex | 51623bd9a0 |
349540440480 has 960 divisors, whose sum is σ = 1587730636800. Its totient is φ = 70282598400.
The previous prime is 349540440467. The next prime is 349540440493. The reversal of 349540440480 is 84044045943.
349540440480 is a `hidden beast` number, since 3 + 4 + 95 + 40 + 4 + 40 + 480 = 666.
349540440480 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (349540440467) and next prime (349540440493).
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30929871 + ... + 30941169.
It is an arithmetic number, because the mean of its divisors is an integer number (1653886080).
Almost surely, 2349540440480 is an apocalyptic number.
349540440480 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 349540440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793865318400).
349540440480 is an abundant number, since it is smaller than the sum of its proper divisors (1238190196320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
349540440480 is a wasteful number, since it uses less digits than its factorization.
349540440480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11375 (or 11358 counting only the distinct ones).
The product of its (nonzero) digits is 1105920, while the sum is 45.
The spelling of 349540440480 in words is "three hundred forty-nine billion, five hundred forty million, four hundred forty thousand, four hundred eighty".
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