Search a number
-
+
403241940 = 2232519157751
BaseRepresentation
bin11000000010001…
…111101111010100
31001002202210221200
4120002033233110
51311212220230
6104002512500
712664333323
oct3002175724
91032683850
10403241940
1119768a702
12b3065730
13657080ca
143b7aa0ba
1525604160
hex1808fbd4

403241940 has 144 divisors (see below), whose sum is σ = 1297470720. Its totient is φ = 101088000.

The previous prime is 403241939. The next prime is 403241941. The reversal of 403241940 is 49142304.

It is an interprime number because it is at equal distance from previous prime (403241939) and next prime (403241941).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403241941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536565 + ... + 537315.

Almost surely, 2403241940 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 403241940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648735360).

403241940 is an abundant number, since it is smaller than the sum of its proper divisors (894228780).

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

403241940 is a wasteful number, since it uses less digits than its factorization.

403241940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 403241940 is about 20080.8849406594. The cubic root of 403241940 is about 738.7915142397.

The spelling of 403241940 in words is "four hundred three million, two hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 157 171 180 190 228 285 314 342 380 471 570 628 684 751 785 855 942 1140 1413 1502 1570 1710 1884 2253 2355 2826 2983 3004 3140 3420 3755 4506 4710 5652 5966 6759 7065 7510 8949 9012 9420 11265 11932 13518 14130 14269 14915 15020 17898 22530 26847 27036 28260 28538 29830 33795 35796 42807 44745 45060 53694 57076 59660 67590 71345 85614 89490 107388 117907 128421 134235 135180 142690 171228 178980 214035 235814 256842 268470 285380 353721 428070 471628 513684 536940 589535 642105 707442 856140 1061163 1179070 1284210 1414884 1768605 2122326 2240233 2358140 2568420 3537210 4244652 4480466 5305815 6720699 7074420 8960932 10611630 11201165 13441398 20162097 21223260 22402330 26882796 33603495 40324194 44804660 67206990 80648388 100810485 134413980 201620970 403241940