Search a number
-
+
348117056 = 2676471201
BaseRepresentation
bin10100101111111…
…101100001000000
3220021001011211022
4110233331201000
51203104221211
654313205012
711424642350
oct2457754100
9807034738
10348117056
11169559551
1298700768
1357177131
143433ab60
1520865bdb
hex14bfd840

348117056 has 56 divisors (see below), whose sum is σ = 791358336. Its totient is φ = 148838400.

The previous prime is 348117043. The next prime is 348117067. The reversal of 348117056 is 650711843.

348117056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289256 + ... + 290456.

Almost surely, 2348117056 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 348117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395679168).

348117056 is an abundant number, since it is smaller than the sum of its proper divisors (443241280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

348117056 is a wasteful number, since it uses less digits than its factorization.

348117056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 348117056 is about 18657.8952725113. The cubic root of 348117056 is about 703.4638221137.

Adding to 348117056 its reverse (650711843), we get a palindrome (998828899).

The spelling of 348117056 in words is "three hundred forty-eight million, one hundred seventeen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 647 1201 1294 2402 2588 4529 4804 5176 8407 9058 9608 10352 16814 18116 19216 20704 33628 36232 38432 41408 67256 72464 76864 134512 144928 269024 289856 538048 777047 1554094 3108188 5439329 6216376 10878658 12432752 21757316 24865504 43514632 49731008 87029264 174058528 348117056