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338429097 = 347183709
BaseRepresentation
bin10100001011000…
…000010010101001
3212120210222110000
4110023000102221
51143114212342
653325413213
711246412516
oct2413002251
9776728400
10338429097
11164041876
129540a209
1355164606
1432d3830d
151eaa044c
hex142c04a9

338429097 has 40 divisors (see below), whose sum is σ = 519583680. Its totient is φ = 219451680.

The previous prime is 338429089. The next prime is 338429111. The reversal of 338429097 is 790924833.

It is a happy number.

It is not a de Polignac number, because 338429097 - 23 = 338429089 is a prime.

It is a super-2 number, since 2×3384290972 = 229068507392470818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338429027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 476979 + ... + 477687.

It is an arithmetic number, because the mean of its divisors is an integer number (12989592).

Almost surely, 2338429097 is an apocalyptic number.

It is an amenable number.

338429097 is a deficient number, since it is larger than the sum of its proper divisors (181154583).

338429097 is an equidigital number, since it uses as much as digits as its factorization.

338429097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 338429097 is about 18396.4425093549. The cubic root of 338429097 is about 696.8766265307.

The spelling of 338429097 in words is "three hundred thirty-eight million, four hundred twenty-nine thousand, ninety-seven".

Divisors: 1 3 9 27 71 81 83 213 249 639 709 747 1917 2127 2241 5751 5893 6381 6723 17679 19143 50339 53037 57429 58847 151017 159111 176541 453051 477333 529623 1359153 1588869 4077459 4178137 4766607 12534411 37603233 112809699 338429097