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8355284940 = 22354712012467
BaseRepresentation
bin1111100100000001…
…11000011111001100
3210120021221110012210
413302000320133030
5114102423104230
63501030430420
7414023515212
oct76200703714
923507843183
108355284940
1135a8382272
121752202410
13a320299b2
1459394ccb2
1533d7c9eb0
hex1f20387cc

8355284940 has 96 divisors (see below), whose sum is σ = 23922146304. Its totient is φ = 2177971200.

The previous prime is 8355284939. The next prime is 8355284953. The reversal of 8355284940 is 494825538.

It is a super-3 number, since 3×83552849403 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8355284940.

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, 3385587 + ... + 3388053.

It is an arithmetic number, because the mean of its divisors is an integer number (249189024).

Almost surely, 28355284940 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 8355284940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11961073152).

8355284940 is an abundant number, since it is smaller than the sum of its proper divisors (15566861364).

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

8355284940 is a wasteful number, since it uses less digits than its factorization.

8355284940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 8355284940 is about 91407.2477432725. The cubic root of 8355284940 is about 2029.1792924334.

The spelling of 8355284940 in words is "eight billion, three hundred fifty-five million, two hundred eighty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1201 1410 2402 2467 2820 3603 4804 4934 6005 7206 7401 9868 12010 12335 14412 14802 18015 24020 24670 29604 36030 37005 49340 56447 72060 74010 112894 115949 148020 169341 225788 231898 282235 338682 347847 463796 564470 579745 677364 695694 846705 1128940 1159490 1391388 1693410 1739235 2318980 2962867 3386820 3478470 5925734 6956940 8888601 11851468 14814335 17777202 29628670 35554404 44443005 59257340 88886010 139254749 177772020 278509498 417764247 557018996 696273745 835528494 1392547490 1671056988 2088821235 2785094980 4177642470 8355284940