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326889984 = 2931923487
BaseRepresentation
bin10011011110111…
…111001000000000
3211210002201202110
4103132333020000
51132140434414
652234215320
711046343011
oct2336771000
9753081673
10326889984
11158580313
1291584540
1352954335
14315b3008
151da71459
hex137bf200

326889984 has 160 divisors (see below), whose sum is σ = 958510080. Its totient is φ = 98537472.

The previous prime is 326889977. The next prime is 326889989. The reversal of 326889984 is 489988623.

326889984 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 (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326889989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670989 + ... + 671475.

It is an arithmetic number, because the mean of its divisors is an integer number (5990688).

Almost surely, 2326889984 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 326889984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479255040).

326889984 is an abundant number, since it is smaller than the sum of its proper divisors (631620096).

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

326889984 is a wasteful number, since it uses less digits than its factorization.

326889984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 534 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 57.

The square root of 326889984 is about 18080.0991147726. The cubic root of 326889984 is about 688.8646061661.

The spelling of 326889984 in words is "three hundred twenty-six million, eight hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 128 138 152 184 192 228 256 276 304 368 384 437 456 487 512 552 608 736 768 874 912 974 1104 1216 1311 1461 1472 1536 1748 1824 1948 2208 2432 2622 2922 2944 3496 3648 3896 4416 4864 5244 5844 5888 6992 7296 7792 8832 9253 9728 10488 11201 11688 11776 13984 14592 15584 17664 18506 20976 22402 23376 27759 27968 29184 31168 33603 35328 37012 41952 44804 46752 55518 55936 62336 67206 74024 83904 89608 93504 111036 111872 124672 134412 148048 167808 179216 187008 212819 222072 223744 249344 268824 296096 335616 358432 374016 425638 444144 537648 592192 638457 671232 716864 748032 851276 888288 1075296 1184384 1276914 1433728 1702552 1776576 2150592 2368768 2553828 2867456 3405104 3553152 4301184 4737536 5107656 5734912 6810208 7106304 8602368 10215312 13620416 14212608 17204736 20430624 27240832 40861248 54481664 81722496 108963328 163444992 326889984