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3311424040 = 235416179419
BaseRepresentation
bin1100010101100000…
…0101001000101000
322112210000202210211
43011120011020220
523240211032130
61304331150504
7145026432331
oct30530051050
98483022724
103311424040
11144a237991
12784ba5434
1340a082112
14235b11288
15145aaca2a
hexc5605228

3311424040 has 128 divisors (see below), whose sum is σ = 7874496000. Its totient is φ = 1251993600.

The previous prime is 3311424019. The next prime is 3311424041. The reversal of 3311424040 is 404241133.

It is not an unprimeable number, because it can be changed into a prime (3311424041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7902951 + ... + 7903369.

It is an arithmetic number, because the mean of its divisors is an integer number (61519500).

Almost surely, 23311424040 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 3311424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248000).

3311424040 is an abundant number, since it is smaller than the sum of its proper divisors (4563071960).

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

3311424040 is a wasteful number, since it uses less digits than its factorization.

3311424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3311424040 is about 57544.9740637703. The cubic root of 3311424040 is about 1490.5215716789.

Adding to 3311424040 its reverse (404241133), we get a palindrome (3715665173).

The spelling of 3311424040 in words is "three billion, three hundred eleven million, four hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 61 79 82 122 158 164 205 244 305 316 328 395 410 419 488 610 632 790 820 838 1220 1580 1640 1676 2095 2440 2501 3160 3239 3352 4190 4819 5002 6478 8380 9638 10004 12505 12956 16195 16760 17179 19276 20008 24095 25010 25559 25912 32390 33101 34358 38552 48190 50020 51118 64780 66202 68716 85895 96380 100040 102236 127795 129560 132404 137432 165505 171790 192760 197579 204472 255590 264808 331010 343580 395158 511180 662020 687160 790316 987895 1022360 1047919 1324040 1357141 1580632 1975790 2019161 2095838 2714282 3951580 4038322 4191676 5239595 5428564 6785705 7903160 8076644 8383352 10095805 10479190 10857128 13571410 16153288 20191610 20958380 27142820 40383220 41916760 54285640 80766440 82785601 165571202 331142404 413928005 662284808 827856010 1655712020 3311424040