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41314320 = 2433531617
BaseRepresentation
bin1001110110011…
…0100000010000
32212201222121000
42131212200100
541034024240
64033302000
71011110625
oct235464020
985658530
1041314320
1121359073
1211a04900
138736b58
1456b634c
153961430
hex2766810

41314320 has 160 divisors (see below), whose sum is σ = 147133440. Its totient is φ = 10644480.

The previous prime is 41314313. The next prime is 41314327. The reversal of 41314320 is 2341314.

It is an interprime number because it is at equal distance from previous prime (41314313) and next prime (41314327).

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 = 41314293 and 41314302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41314327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66652 + ... + 67268.

It is an arithmetic number, because the mean of its divisors is an integer number (919584).

Almost surely, 241314320 is an apocalyptic number.

41314320 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 41314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73566720).

41314320 is an abundant number, since it is smaller than the sum of its proper divisors (105819120).

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

41314320 is a wasteful number, since it uses less digits than its factorization.

41314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 658 counting only the distinct ones).

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

The square root of 41314320 is about 6427.6216441231. The cubic root of 41314320 is about 345.7006554808.

Adding to 41314320 its reverse (2341314), we get a palindrome (43655634).

The spelling of 41314320 in words is "forty-one million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 617 620 720 744 837 930 1080 1116 1234 1240 1395 1488 1674 1851 1860 2160 2232 2468 2480 2790 3085 3348 3702 3720 4185 4464 4936 5553 5580 6170 6696 7404 7440 8370 9255 9872 11106 11160 12340 13392 14808 16659 16740 18510 19127 22212 22320 24680 27765 29616 33318 33480 37020 38254 44424 49360 55530 57381 66636 66960 74040 76508 83295 88848 95635 111060 114762 133272 148080 153016 166590 172143 191270 222120 229524 266544 286905 306032 333180 344286 382540 444240 459048 516429 573810 666360 688572 765080 860715 918096 1032858 1147620 1332720 1377144 1530160 1721430 2065716 2295240 2582145 2754288 3442860 4131432 4590480 5164290 6885720 8262864 10328580 13771440 20657160 41314320