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688356330 = 23561509739
BaseRepresentation
bin101001000001110…
…111101111101010
31202222021010100220
4221001313233222
52402204400310
6152145510510
723025634524
oct5101675752
91688233326
10688356330
11323617332
12172642436
13ac7c364c
14675c6a14
1540672670
hex29077bea

688356330 has 64 divisors (see below), whose sum is σ = 1684713600. Its totient is φ = 179953920.

The previous prime is 688356283. The next prime is 688356373. The reversal of 688356330 is 33653886.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931101 + ... + 931839.

It is an arithmetic number, because the mean of its divisors is an integer number (26323650).

Almost surely, 2688356330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688356330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842356800).

688356330 is an abundant number, since it is smaller than the sum of its proper divisors (996357270).

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

688356330 is a wasteful number, since it uses less digits than its factorization.

688356330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319.

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 688356330 is about 26236.5456948890. The cubic root of 688356330 is about 882.9533733925.

The spelling of 688356330 in words is "six hundred eighty-eight million, three hundred fifty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 509 610 739 915 1018 1478 1527 1830 2217 2545 3054 3695 4434 5090 7390 7635 11085 15270 22170 31049 45079 62098 90158 93147 135237 155245 186294 225395 270474 310490 376151 450790 465735 676185 752302 931470 1128453 1352370 1880755 2256906 3761510 5642265 11284530 22945211 45890422 68835633 114726055 137671266 229452110 344178165 688356330