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343288638 = 23371182561
BaseRepresentation
bin10100011101100…
…010101100111110
3212220221212111000
4110131202230332
51200340214023
654021511130
711335622340
oct2435425476
9786855430
10343288638
11166860920
1296b724a6
1356176494
1433841290
1520210243
hex14762b3e

343288638 has 64 divisors (see below), whose sum is σ = 951114240. Its totient is φ = 89164800.

The previous prime is 343288619. The next prime is 343288643. The reversal of 343288638 is 836882343.

343288638 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 8 + 8 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 343288593 and 343288602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37123 + ... + 45438.

It is an arithmetic number, because the mean of its divisors is an integer number (14861160).

Almost surely, 2343288638 is an apocalyptic number.

343288638 is an abundant number, since it is smaller than the sum of its proper divisors (607825602).

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

343288638 is a wasteful number, since it uses less digits than its factorization.

343288638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82590 (or 82584 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 343288638 is about 18528.0500323159. The cubic root of 343288638 is about 700.1962973292.

The spelling of 343288638 in words is "three hundred forty-three million, two hundred eighty-eight thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 82561 165122 247683 495366 577927 743049 908171 1155854 1486098 1733781 1816342 2229147 2724513 3467562 4458294 5201343 5449026 6357197 8173539 10402686 12714394 15604029 16347078 19071591 24520617 31208058 38143182 49041234 57214773 114429546 171644319 343288638