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40341420 = 223257101317
BaseRepresentation
bin1001100111100…
…0111110101100
32210220120000200
42121320332230
540311411140
64000353500
7666616320
oct231707654
983816020
1040341420
1120854119
1211615890
138486082
145501980
15381d030
hex2678fac

40341420 has 144 divisors (see below), whose sum is σ = 141680448. Its totient is φ = 9100800.

The previous prime is 40341383. The next prime is 40341421. The reversal of 40341420 is 2414304.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40341393 and 40341402.

It is not an unprimeable number, because it can be changed into a prime (40341421) 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, 127102 + ... + 127418.

It is an arithmetic number, because the mean of its divisors is an integer number (983892).

Almost surely, 240341420 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 40341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70840224).

40341420 is an abundant number, since it is smaller than the sum of its proper divisors (101339028).

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

40341420 is a wasteful number, since it uses less digits than its factorization.

40341420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40341420 is about 6351.4895890649. The cubic root of 40341420 is about 342.9654672598.

Adding to 40341420 its reverse (2414304), we get a palindrome (42755724).

The spelling of 40341420 in words is "forty million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 303 315 317 404 420 505 606 630 634 707 909 951 1010 1212 1260 1268 1414 1515 1585 1818 1902 2020 2121 2219 2828 2853 3030 3170 3535 3636 3804 4242 4438 4545 4755 5706 6060 6340 6363 6657 7070 8484 8876 9090 9510 10605 11095 11412 12726 13314 14140 14265 18180 19020 19971 21210 22190 25452 26628 28530 31815 32017 33285 39942 42420 44380 57060 63630 64034 66570 79884 96051 99855 127260 128068 133140 160085 192102 199710 224119 288153 320170 384204 399420 448238 480255 576306 640340 672357 896476 960510 1120595 1152612 1344714 1440765 1921020 2017071 2241190 2689428 2881530 3361785 4034142 4482380 5763060 6723570 8068284 10085355 13447140 20170710 40341420