Search a number
-
+
348340681 = 13232373
BaseRepresentation
bin10100110000110…
…100000111001001
3220021110112120201
4110300310013021
51203133400211
654322052201
711426563333
oct2460640711
9807415521
10348340681
111696a1567
12987aa061
1357224b60
1434398453
15208ac0c1
hex14c341c9

348340681 has 24 divisors (see below), whose sum is σ = 403048520. Its totient is φ = 299252448.

The previous prime is 348340667. The next prime is 348340687. The reversal of 348340681 is 186043843.

It is the 7620-th star number.

It can be written as a sum of positive squares in 4 ways, for example, as 76387600 + 271953081 = 8740^2 + 16491^2 .

It is not a de Polignac number, because 348340681 - 223 = 339952073 is a prime.

It is a super-2 number, since 2×3483406812 = 242682460079087522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 348340681.

It is not an unprimeable number, because it can be changed into a prime (348340687) 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, 9414595 + ... + 9414631.

Almost surely, 2348340681 is an apocalyptic number.

It is an amenable number.

348340681 is a deficient number, since it is larger than the sum of its proper divisors (54707839).

348340681 is an frugal number, since it uses more digits than its factorization.

348340681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 348340681 is about 18663.8870817416. The cubic root of 348340681 is about 703.6144212887.

The spelling of 348340681 in words is "three hundred forty-eight million, three hundred forty thousand, six hundred eighty-one".

Divisors: 1 13 23 37 299 481 529 851 1369 6877 11063 17797 19573 31487 50653 254449 409331 658489 724201 1165019 9414613 15145247 26795437 348340681