Search a number
-
+
2348856 = 23321719101
BaseRepresentation
bin1000111101011100111000
311102100000200
420331130320
51100130411
6122202200
725651656
oct10753470
94370020
102348856
111364804
12953360
13643173
14451dd6
15315e56
hex23d738

2348856 has 96 divisors (see below), whose sum is σ = 7160400. Its totient is φ = 691200.

The previous prime is 2348851. The next prime is 2348861. The reversal of 2348856 is 6588432.

It is an interprime number because it is at equal distance from previous prime (2348851) and next prime (2348861).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2348856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2348851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23206 + ... + 23306.

22348856 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 2348856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580200).

2348856 is an abundant number, since it is smaller than the sum of its proper divisors (4811544).

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

2348856 is a wasteful number, since it uses less digits than its factorization.

2348856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 142 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2348856 is about 1532.5977945958. The cubic root of 2348856 is about 132.9287122443.

The spelling of 2348856 in words is "two million, three hundred forty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 101 102 114 136 152 153 171 202 204 228 303 306 323 342 404 408 456 606 612 646 684 808 909 969 1212 1224 1292 1368 1717 1818 1919 1938 2424 2584 2907 3434 3636 3838 3876 5151 5757 5814 6868 7272 7676 7752 10302 11514 11628 13736 15352 15453 17271 20604 23028 23256 30906 32623 34542 41208 46056 61812 65246 69084 97869 123624 130492 138168 195738 260984 293607 391476 587214 782952 1174428 2348856