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329940 = 223351347
BaseRepresentation
bin1010000100011010100
3121202121000
41100203110
541024230
611023300
72542632
oct1204324
9552530
10329940
11205986
1213ab30
13b7240
1488352
1567b60
hex508d4

329940 has 96 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 79488.

The previous prime is 329899. The next prime is 329941. The reversal of 329940 is 49923.

329940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329941) by changing a digit.

329940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6997 + ... + 7043.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2329940 is an apocalyptic number.

329940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

329940 is an abundant number, since it is smaller than the sum of its proper divisors (799020).

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

329940 is a wasteful number, since it uses less digits than its factorization.

329940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 329940 is about 574.4040389830. The cubic root of 329940 is about 69.1000439110.

The spelling of 329940 in words is "three hundred twenty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 47 52 54 60 65 78 90 94 108 117 130 135 141 156 180 188 195 234 235 260 270 282 351 390 423 468 470 540 564 585 611 702 705 780 846 940 1170 1222 1269 1404 1410 1692 1755 1833 2115 2340 2444 2538 2820 3055 3510 3666 4230 5076 5499 6110 6345 7020 7332 8460 9165 10998 12220 12690 16497 18330 21996 25380 27495 32994 36660 54990 65988 82485 109980 164970 329940