Search a number
-
+
328969350 = 23452431889
BaseRepresentation
bin10011100110111…
…010110010000110
3211221000101010000
4103212322302012
51133204004400
652350542130
711103123213
oct2346726206
9757011100
10328969350
111597705a6
1292207946
1353201928
1431994b0a
151dd32600
hex139bac86

328969350 has 120 divisors (see below), whose sum is σ = 935799480. Its totient is φ = 85639680.

The previous prime is 328969349. The next prime is 328969367. The reversal of 328969350 is 53969823.

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 = 328969296 and 328969305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 173206 + ... + 175094.

It is an arithmetic number, because the mean of its divisors is an integer number (7798329).

Almost surely, 2328969350 is an apocalyptic number.

328969350 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 328969350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467899740).

328969350 is an abundant number, since it is smaller than the sum of its proper divisors (606830130).

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

328969350 is a wasteful number, since it uses less digits than its factorization.

328969350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1942 counting only the distinct ones).

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

The square root of 328969350 is about 18137.5122329387. The cubic root of 328969350 is about 690.3221558027.

The spelling of 328969350 in words is "three hundred twenty-eight million, nine hundred sixty-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 43 45 50 54 75 81 86 90 129 135 150 162 215 225 258 270 387 405 430 450 645 675 774 810 1075 1161 1290 1350 1889 1935 2025 2150 2322 3225 3483 3778 3870 4050 5667 5805 6450 6966 9445 9675 11334 11610 17001 17415 18890 19350 28335 29025 34002 34830 47225 51003 56670 58050 81227 85005 87075 94450 102006 141675 153009 162454 170010 174150 243681 255015 283350 306018 406135 425025 487362 510030 731043 765045 812270 850050 1218405 1275075 1462086 1530090 2030675 2193129 2436810 2550150 3655215 3825225 4061350 4386258 6092025 6579387 7310430 7650450 10965645 12184050 13158774 18276075 21931290 32896935 36552150 54828225 65793870 109656450 164484675 328969350