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328699350 = 23352724969
BaseRepresentation
bin10011100101111…
…000110111010110
3211220111122202000
4103211320313112
51133121334400
652341100130
711100620100
oct2345706726
9756448660
10328699350
111595a6761
12920b7646
1353138a75
1431924570
151dccc600
hex13978dd6

328699350 has 144 divisors (see below), whose sum is σ = 1053838800. Its totient is φ = 75116160.

The previous prime is 328699313. The next prime is 328699361. The reversal of 328699350 is 53996823.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 328699296 and 328699305.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 63666 + ... + 68634.

It is an arithmetic number, because the mean of its divisors is an integer number (7318325).

Almost surely, 2328699350 is an apocalyptic number.

328699350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 328699350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526919400).

328699350 is an abundant number, since it is smaller than the sum of its proper divisors (725139450).

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

328699350 is a wasteful number, since it uses less digits than its factorization.

328699350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 328699350 is about 18130.0675674417. The cubic root of 328699350 is about 690.1332445891.

The spelling of 328699350 in words is "three hundred twenty-eight million, six hundred ninety-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 49 50 54 63 70 75 90 98 105 126 135 147 150 175 189 210 225 245 270 294 315 350 378 441 450 490 525 630 675 735 882 945 1050 1225 1323 1350 1470 1575 1890 2205 2450 2646 3150 3675 4410 4725 4969 6615 7350 9450 9938 11025 13230 14907 22050 24845 29814 33075 34783 44721 49690 66150 69566 74535 89442 104349 124225 134163 149070 173915 208698 223605 243481 248450 268326 313047 347830 372675 447210 486962 521745 626094 670815 730443 745350 869575 939141 1043490 1118025 1217405 1341630 1460886 1565235 1739150 1878282 2191329 2236050 2434810 2608725 3130470 3354075 3652215 4382658 4695705 5217450 6087025 6573987 6708150 7304430 7826175 9391410 10956645 12174050 13147974 15652350 18261075 21913290 23478525 32869935 36522150 46957050 54783225 65739870 109566450 164349675 328699350