Search a number
-
+
348000210 = 23254194309
BaseRepresentation
bin10100101111100…
…000111111010010
3220020211020112200
4110233200333102
51203042001320
654310504030
711423644605
oct2457407722
9806736480
10348000210
11169489788
1298665016
1357135bac
143430a33c
1520841290
hex14be0fd2

348000210 has 48 divisors (see below), whose sum is σ = 926878680. Its totient is φ = 90535680.

The previous prime is 348000199. The next prime is 348000221. The reversal of 348000210 is 12000843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (348000199) and next prime (348000221).

It can be written as a sum of positive squares in 4 ways, for example, as 263120841 + 84879369 = 16221^2 + 9213^2 .

It is a super-2 number, since 2×3480002102 = 242208292320088200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43465 + ... + 50844.

Almost surely, 2348000210 is an apocalyptic number.

348000210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

348000210 is an abundant number, since it is smaller than the sum of its proper divisors (578878470).

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

348000210 is a wasteful number, since it uses less digits than its factorization.

348000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94363 (or 94360 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 348000210 is about 18654.7637347676. The cubic root of 348000210 is about 703.3851070852.

The spelling of 348000210 in words is "three hundred forty-eight million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 94309 188618 282927 471545 565854 848781 943090 1414635 1697562 2829270 3866669 4243905 7733338 8487810 11600007 19333345 23200014 34800021 38666690 58000035 69600042 116000070 174000105 348000210