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329006260 = 225112232257
BaseRepresentation
bin10011100111000…
…011110010110100
3211221002020202001
4103213003302310
51133211200020
652351425044
711103335632
oct2347036264
9757066661
10329006260
11159796300
1292225184
135321567b
14319a4352
151dd3d50a
hex139c3cb4

329006260 has 108 divisors (see below), whose sum is σ = 796976964. Its totient is φ = 113991680.

The previous prime is 329006233. The next prime is 329006269. The reversal of 329006260 is 62600923.

It can be written as a sum of positive squares in 2 ways, for example, as 246050596 + 82955664 = 15686^2 + 9108^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329006269) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1280052 + ... + 1280308.

Almost surely, 2329006260 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 329006260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398488482).

329006260 is an abundant number, since it is smaller than the sum of its proper divisors (467970704).

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

329006260 is a wasteful number, since it uses less digits than its factorization.

329006260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 329006260 is about 18138.5297088821. The cubic root of 329006260 is about 690.3479726332.

It can be divided in two parts, 329006 and 260, that added together give a triangular number (329266 = T811).

The spelling of 329006260 in words is "three hundred twenty-nine million, six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 257 460 484 506 514 529 605 1012 1028 1058 1210 1265 1285 2116 2420 2530 2570 2645 2783 2827 5060 5140 5290 5566 5654 5819 5911 10580 11132 11308 11638 11822 13915 14135 23276 23644 27830 28270 29095 29555 31097 55660 56540 58190 59110 62194 64009 65021 116380 118220 124388 128018 130042 135953 155485 256036 260084 271906 310970 320045 325105 543812 621940 640090 650210 679765 715231 1280180 1300420 1359530 1430462 1495483 2719060 2860924 2990966 3576155 5981932 7152310 7477415 14304620 14954830 16450313 29909660 32900626 65801252 82251565 164503130 329006260