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348180313 = 13311575503
BaseRepresentation
bin10100110000001…
…100111101011001
3220021011101121011
4110300030331121
51203113232223
654314413521
711425324645
oct2460147531
9807141534
10348180313
111695a2028
12987312a1
1357199b70
1434355c25
152087980d
hex14c0cf59

348180313 has 16 divisors (see below), whose sum is σ = 389595136. Its totient is φ = 308992320.

The previous prime is 348180311. The next prime is 348180317. The reversal of 348180313 is 313081843.

It is not a de Polignac number, because 348180313 - 21 = 348180311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (348180311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60520 + ... + 66022.

It is an arithmetic number, because the mean of its divisors is an integer number (24349696).

Almost surely, 2348180313 is an apocalyptic number.

It is an amenable number.

348180313 is a deficient number, since it is larger than the sum of its proper divisors (41414823).

348180313 is a wasteful number, since it uses less digits than its factorization.

348180313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 348180313 is about 18659.5903759970. The cubic root of 348180313 is about 703.5064287745.

The spelling of 348180313 in words is "three hundred forty-eight million, one hundred eighty thousand, three hundred thirteen".

Divisors: 1 13 31 157 403 2041 4867 5503 63271 71539 170593 863971 2217709 11231623 26783101 348180313