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343028088 = 23331329397
BaseRepresentation
bin10100011100100…
…011000101111000
3212220110122002000
4110130203011320
51200303344323
654012141000
711333455614
oct2434430570
9786418060
10343028088
111666a3097
1296a67760
13560b4a00
14337b4344
15201ace43
hex14723178

343028088 has 96 divisors (see below), whose sum is σ = 1031900400. Its totient is φ = 105535872.

The previous prime is 343028087. The next prime is 343028089. The reversal of 343028088 is 880820343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (343028087) and next prime (343028089).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343028087) 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 23 ways as a sum of consecutive naturals, for example, 31806 + ... + 41202.

Almost surely, 2343028088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343028088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515950200).

343028088 is an abundant number, since it is smaller than the sum of its proper divisors (688872312).

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

343028088 is a wasteful number, since it uses less digits than its factorization.

343028088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9438 (or 9415 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 343028088 is about 18521.0174666512. The cubic root of 343028088 is about 700.0191069615.

The spelling of 343028088 in words is "three hundred forty-three million, twenty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1352 1404 1521 2028 2808 3042 4056 4563 6084 9126 9397 12168 18252 18794 28191 36504 37588 56382 75176 84573 112764 122161 169146 225528 244322 253719 338292 366483 488644 507438 676584 732966 977288 1014876 1099449 1465932 1588093 2029752 2198898 2931864 3176186 3298347 4397796 4764279 6352372 6596694 8795592 9528558 12704744 13193388 14292837 19057116 26386776 28585674 38114232 42878511 57171348 85757022 114342696 171514044 343028088