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412343040 = 2835167643
BaseRepresentation
bin11000100100111…
…101101100000000
31001201220012022110
4120210331230000
51321024434130
6104525535320
713134600204
oct3044755400
91051805273
10412343040
111a183647a
12b6114540
1367573785
143ca98b04
1526300ab0
hex1893db00

412343040 has 144 divisors (see below), whose sum is σ = 1326866688. Its totient is φ = 109129728.

The previous prime is 412343033. The next prime is 412343069. The reversal of 412343040 is 40343214.

It is a junction number, because it is equal to n+sod(n) for n = 412342998 and 412343016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640959 + ... + 641601.

It is an arithmetic number, because the mean of its divisors is an integer number (9214352).

Almost surely, 2412343040 is an apocalyptic number.

412343040 is a gapful number since it is divisible by the number (40) 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 412343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663433344).

412343040 is an abundant number, since it is smaller than the sum of its proper divisors (914523648).

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

412343040 is a wasteful number, since it uses less digits than its factorization.

412343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 412343040 is about 20306.2315558550. The cubic root of 412343040 is about 744.3083471576.

Adding to 412343040 its reverse (40343214), we get a palindrome (452686254).

The spelling of 412343040 in words is "four hundred twelve million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 167 192 240 256 320 334 384 480 501 640 643 668 768 835 960 1002 1280 1286 1336 1670 1920 1929 2004 2505 2572 2672 3215 3340 3840 3858 4008 5010 5144 5344 6430 6680 7716 8016 9645 10020 10288 10688 12860 13360 15432 16032 19290 20040 20576 21376 25720 26720 30864 32064 38580 40080 41152 42752 51440 53440 61728 64128 77160 80160 82304 102880 106880 107381 123456 128256 154320 160320 164608 205760 213760 214762 246912 308640 320640 322143 411520 429524 493824 536905 617280 641280 644286 823040 859048 1073810 1234560 1288572 1610715 1718096 2147620 2469120 2577144 3221430 3436192 4295240 5154288 6442860 6872384 8590480 10308576 12885720 13744768 17180960 20617152 25771440 27489536 34361920 41234304 51542880 68723840 82468608 103085760 137447680 206171520 412343040