Search a number
-
+
329239728 = 2437972
BaseRepresentation
bin10011100111111…
…100110010110000
3211221112010000000
4103213330302300
51133241132403
652400430000
711105330406
oct2347746260
9757463000
10329239728
11159935754
1292318300
1353297a0c
1431a25476
151dd877a3
hex139fccb0

329239728 has 120 divisors (see below), whose sum is σ = 966671760. Its totient is φ = 108615168.

The previous prime is 329239723. The next prime is 329239741. The reversal of 329239728 is 827932923.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not an unprimeable number, because it can be changed into a prime (329239721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3394176 + ... + 3394272.

It is an arithmetic number, because the mean of its divisors is an integer number (8055598).

Almost surely, 2329239728 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 329239728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483335880).

329239728 is an abundant number, since it is smaller than the sum of its proper divisors (637432032).

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

329239728 is an frugal number, since it uses more digits than its factorization.

329239728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 102 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 329239728 is about 18144.9642600916. The cubic root of 329239728 is about 690.5112279378.

The spelling of 329239728 in words is "three hundred twenty-nine million, two hundred thirty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 97 108 144 162 194 216 243 291 324 388 432 486 582 648 729 776 873 972 1164 1296 1458 1552 1746 1944 2187 2328 2619 2916 3492 3888 4374 4656 5238 5832 6984 7857 8748 9409 10476 11664 13968 15714 17496 18818 20952 23571 28227 31428 34992 37636 41904 47142 56454 62856 70713 75272 84681 94284 112908 125712 141426 150544 169362 188568 212139 225816 254043 282852 338724 377136 424278 451632 508086 565704 677448 762129 848556 1016172 1131408 1354896 1524258 1697112 2032344 2286387 3048516 3394224 4064688 4572774 6097032 6859161 9145548 12194064 13718322 18291096 20577483 27436644 36582192 41154966 54873288 82309932 109746576 164619864 329239728