Search a number
-
+
325941840 = 24335721557
BaseRepresentation
bin10011011011010…
…111101001010000
3211201022120011000
4103123113221100
51131420114330
652202022000
711035313520
oct2333275120
9751276130
10325941840
11157a92a24
12911a7900
13526b18c3
1431407680
151d935560
hex136d7a50

325941840 has 160 divisors (see below), whose sum is σ = 1283132160. Its totient is φ = 74497536.

The previous prime is 325941839. The next prime is 325941853. The reversal of 325941840 is 48149523.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 325941795 and 325941804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4342 + ... + 25898.

It is an arithmetic number, because the mean of its divisors is an integer number (8019576).

Almost surely, 2325941840 is an apocalyptic number.

325941840 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 325941840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641566080).

325941840 is an abundant number, since it is smaller than the sum of its proper divisors (957190320).

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

325941840 is a wasteful number, since it uses less digits than its factorization.

325941840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21586 (or 21574 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 325941840 is about 18053.8594211875. The cubic root of 325941840 is about 688.1979442159.

The spelling of 325941840 in words is "three hundred twenty-five million, nine hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 21557 43114 64671 86228 107785 129342 150899 172456 194013 215570 258684 301798 323355 344912 388026 431140 452697 517368 582039 603596 646710 754495 776052 862280 905394 970065 1034736 1164078 1207192 1293420 1358091 1508990 1552104 1724560 1810788 1940130 2263485 2328156 2414384 2586840 2716182 2910195 3017980 3104208 3621576 3880260 4074273 4526970 4656312 5173680 5432364 5820390 6035960 6790455 7243152 7760520 8148546 9053940 9312624 10864728 11640780 12071920 13580910 15521040 16297092 18107880 20371365 21729456 23281560 27161820 32594184 36215760 40742730 46563120 54323640 65188368 81485460 108647280 162970920 325941840