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8216340 = 22351159211
BaseRepresentation
bin11111010101111100010100
3120110102200220
4133111330110
54100410330
6452034340
7126560226
oct37257424
916412626
108216340
114702070
1229029b0
131918a52
14113c416
15ac4710
hex7d5f14

8216340 has 96 divisors (see below), whose sum is σ = 25643520. Its totient is φ = 1948800.

The previous prime is 8216317. The next prime is 8216347. The reversal of 8216340 is 436128.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8216340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8216347) 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, 38835 + ... + 39045.

It is an arithmetic number, because the mean of its divisors is an integer number (267120).

Almost surely, 28216340 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 8216340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821760).

8216340 is an abundant number, since it is smaller than the sum of its proper divisors (17427180).

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

8216340 is a wasteful number, since it uses less digits than its factorization.

8216340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 8216340 is about 2866.4158805030. The cubic root of 8216340 is about 201.7868221264.

The spelling of 8216340 in words is "eight million, two hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 211 220 236 295 330 354 422 590 633 649 660 708 844 885 1055 1180 1266 1298 1770 1947 2110 2321 2532 2596 3165 3245 3540 3894 4220 4642 6330 6490 6963 7788 9284 9735 11605 12449 12660 12980 13926 19470 23210 24898 27852 34815 37347 38940 46420 49796 62245 69630 74694 124490 136939 139260 149388 186735 248980 273878 373470 410817 547756 684695 746940 821634 1369390 1643268 2054085 2738780 4108170 8216340