Base | Representation |
---|---|
bin | 10100110001111… |
… | …100010100000000 |
3 | 220022000120020212 |
4 | 110301330110000 |
5 | 1203222331131 |
6 | 54332253252 |
7 | 11432234462 |
oct | 2461742400 |
9 | 808016225 |
10 | 348636416 |
11 | 169883777 |
12 | 98911228 |
13 | 572c964b |
14 | 34434132 |
15 | 20919a2b |
hex | 14c7c500 |
348636416 has 72 divisors (see below), whose sum is σ = 725243904. Its totient is φ = 167086080.
The previous prime is 348636403. The next prime is 348636439. The reversal of 348636416 is 614636843.
It is a super-2 number, since 2×3486364162 = 243094701122650112, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1563281 + ... + 1563503.
It is an arithmetic number, because the mean of its divisors is an integer number (10072832).
Almost surely, 2348636416 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 348636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362621952).
348636416 is an abundant number, since it is smaller than the sum of its proper divisors (376607488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
348636416 is a wasteful number, since it uses less digits than its factorization.
348636416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 467 (or 453 counting only the distinct ones).
The product of its digits is 248832, while the sum is 41.
The square root of 348636416 is about 18671.8080538549. The cubic root of 348636416 is about 703.8134836469.
The spelling of 348636416 in words is "three hundred forty-eight million, six hundred thirty-six thousand, four hundred sixteen".
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