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3340442440 = 23519103139307
BaseRepresentation
bin1100011100011011…
…0001101101001000
322121210122001120101
43013012301231020
523320123124230
61311245135144
7145531202146
oct30706615510
98553561511
103340442440
111464657935
1279285a4b4
134130a237a
14239906596
151483e0aca
hexc71b1b48

3340442440 has 128 divisors (see below), whose sum is σ = 8072064000. Its totient is φ = 1240489728.

The previous prime is 3340442431. The next prime is 3340442453. The reversal of 3340442440 is 442440433.

It is a super-2 number, since 2×33404424402 = 22317111389906307200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3340442399 and 3340442408.

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, 10880767 + ... + 10881073.

It is an arithmetic number, because the mean of its divisors is an integer number (63063000).

Almost surely, 23340442440 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 3340442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036032000).

3340442440 is an abundant number, since it is smaller than the sum of its proper divisors (4731621560).

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

3340442440 is a wasteful number, since it uses less digits than its factorization.

3340442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 3340442440 is about 57796.5607973346. The cubic root of 3340442440 is about 1494.8627875993.

Adding to 3340442440 its reverse (442440433), we get a palindrome (3782882873).

The spelling of 3340442440 in words is "three billion, three hundred forty million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 103 139 152 190 206 278 307 380 412 515 556 614 695 760 824 1030 1112 1228 1390 1535 1957 2060 2456 2641 2780 3070 3914 4120 5282 5560 5833 6140 7828 9785 10564 11666 12280 13205 14317 15656 19570 21128 23332 26410 28634 29165 31621 39140 42673 46664 52820 57268 58330 63242 71585 78280 85346 105640 114536 116660 126484 143170 158105 170692 213365 233320 252968 272023 286340 316210 341384 426730 544046 572680 600799 632420 810787 853460 1088092 1201598 1264840 1360115 1621574 1706920 2176184 2403196 2720230 3003995 3243148 4053935 4395319 4806392 5440460 6007990 6486296 8107870 8790638 10880920 12015980 16215740 17581276 21976595 24031960 32431480 35162552 43953190 83511061 87906380 167022122 175812760 334044244 417555305 668088488 835110610 1670221220 3340442440