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340353657 = 3472292957
BaseRepresentation
bin10100010010010…
…110001001111001
3212201102202110000
4110102112021321
51144112304112
653434543213
711301646500
oct2422261171
9781382400
10340353657
11165136816
1295b97b09
13556895c7
14332b9837
151ed307dc
hex14496279

340353657 has 60 divisors (see below), whose sum is σ = 612039780. Its totient is φ = 187717824.

The previous prime is 340353653. The next prime is 340353679. The reversal of 340353657 is 756353043.

It can be written as a sum of positive squares in 2 ways, for example, as 117418896 + 222934761 = 10836^2 + 14931^2 .

It is not a de Polignac number, because 340353657 - 22 = 340353653 is a prime.

It is a super-2 number, since 2×3403536572 = 231681223666547298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340353653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 113623 + ... + 116579.

It is an arithmetic number, because the mean of its divisors is an integer number (10200663).

Almost surely, 2340353657 is an apocalyptic number.

It is an amenable number.

340353657 is a deficient number, since it is larger than the sum of its proper divisors (271686123).

340353657 is a wasteful number, since it uses less digits than its factorization.

340353657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 340353657 is about 18448.6762939784. The cubic root of 340353657 is about 698.1951169481.

The spelling of 340353657 in words is "three hundred forty million, three hundred fifty-three thousand, six hundred fifty-seven".

Divisors: 1 3 7 9 21 27 29 49 63 81 87 147 189 203 261 441 567 609 783 1323 1421 1827 2349 2957 3969 4263 5481 8871 12789 16443 20699 26613 38367 62097 79839 85753 115101 144893 186291 239517 257259 434679 558873 600271 771777 1304037 1676619 1800813 2315331 3912111 4201897 5402439 6945993 11736333 12605691 16207317 37817073 48621951 113451219 340353657