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340600728 = 233134723227
BaseRepresentation
bin10100010011010…
…010011110011000
3212201220022100210
4110103102132120
51144143210403
653444131120
711304026016
oct2423223630
9781808323
10340600728
11165295406
1296096aa0
1355744bc0
14333418b6
151ed7db03
hex144d2798

340600728 has 64 divisors (see below), whose sum is σ = 936552960. Its totient is φ = 102566016.

The previous prime is 340600727. The next prime is 340600747. The reversal of 340600728 is 827006043.

It is a junction number, because it is equal to n+sod(n) for n = 340600695 and 340600704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340600727) 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 15 ways as a sum of consecutive naturals, for example, 3051 + ... + 26277.

It is an arithmetic number, because the mean of its divisors is an integer number (14633640).

Almost surely, 2340600728 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 340600728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468276480).

340600728 is an abundant number, since it is smaller than the sum of its proper divisors (595952232).

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

340600728 is a wasteful number, since it uses less digits than its factorization.

340600728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23296 (or 23292 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 340600728 is about 18455.3712506685. The cubic root of 340600728 is about 698.3640216912.

The spelling of 340600728 in words is "three hundred forty million, six hundred thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 282 312 376 564 611 1128 1222 1833 2444 3666 4888 7332 14664 23227 46454 69681 92908 139362 185816 278724 301951 557448 603902 905853 1091669 1207804 1811706 2183338 2415608 3275007 3623412 4366676 6550014 7246824 8733352 13100028 14191697 26200056 28383394 42575091 56766788 85150182 113533576 170300364 340600728