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348394669462476 = 2234713173122422007
BaseRepresentation
bin100111100110111001111010…
…0100000111101001111001100
31200200120012112112111000020000
41033031303310200331033030
5331131044240340244401
63232550145052524300
7133245453455612340
oct11715636440751714
91620505475430200
10348394669462476
11a101139331040a
12330a9279a80690
1311c52626742840
14620656b80d620
152a42828e41186
hex13cdcf483d3cc

348394669462476 has 480 divisors, whose sum is σ = 1225175827341312. Its totient is φ = 83689688954880.

The previous prime is 348394669462457. The next prime is 348394669462523. The reversal of 348394669462476 is 674264966493843.

348394669462476 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 9 + 46 + 69 + 46 + 2 + 476 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 348394669462395 and 348394669462404.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4327065 + ... + 26749071.

Almost surely, 2348394669462476 is an apocalyptic number.

348394669462476 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348394669462476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612587913670656).

348394669462476 is an abundant number, since it is smaller than the sum of its proper divisors (876781157878836).

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

348394669462476 is a wasteful number, since it uses less digits than its factorization.

348394669462476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22422091 (or 22422080 counting only the distinct ones).

The product of its digits is 27088846848, while the sum is 81.

The spelling of 348394669462476 in words is "three hundred forty-eight trillion, three hundred ninety-four billion, six hundred sixty-nine million, four hundred sixty-two thousand, four hundred seventy-six".