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41341320 = 23335101379
BaseRepresentation
bin1001110110110…
…1000110001000
32212210100122000
42131231012020
541040410240
64034031000
71011252426
oct235550610
985710560
1041341320
1121377389
1211a18460
138746227
1456c2116
153969430
hex276d188

41341320 has 128 divisors (see below), whose sum is σ = 139536000. Its totient is φ = 10886400.

The previous prime is 41341309. The next prime is 41341337. The reversal of 41341320 is 2314314.

41341320 is a `hidden beast` number, since 4 + 1 + 341 + 320 = 666.

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 = 41341293 and 41341302.

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, 108891 + ... + 109269.

It is an arithmetic number, because the mean of its divisors is an integer number (1090125).

Almost surely, 241341320 is an apocalyptic number.

41341320 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 41341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69768000).

41341320 is an abundant number, since it is smaller than the sum of its proper divisors (98194680).

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

41341320 is a wasteful number, since it uses less digits than its factorization.

41341320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41341320 is about 6429.7216113919. The cubic root of 41341320 is about 345.7759472530.

Adding to 41341320 its reverse (2314314), we get a palindrome (43655634).

The spelling of 41341320 in words is "forty-one million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 101 108 120 135 180 202 216 270 303 360 379 404 505 540 606 758 808 909 1010 1080 1137 1212 1515 1516 1818 1895 2020 2274 2424 2727 3030 3032 3411 3636 3790 4040 4545 4548 5454 5685 6060 6822 7272 7580 9090 9096 10233 10908 11370 12120 13635 13644 15160 17055 18180 20466 21816 22740 27270 27288 34110 36360 38279 40932 45480 51165 54540 68220 76558 81864 102330 109080 114837 136440 153116 191395 204660 229674 306232 344511 382790 409320 459348 574185 689022 765580 918696 1033533 1148370 1378044 1531160 1722555 2067066 2296740 2756088 3445110 4134132 4593480 5167665 6890220 8268264 10335330 13780440 20670660 41341320