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3403045440 = 26335393871
BaseRepresentation
bin1100101011010110…
…0101101001000000
322210011102121202000
43022311211221000
523432134423230
61321403024000
7150221260164
oct31265455100
98704377660
103403045440
111496a26453
127ab80b000
13423051072
14243d60ca4
1514db59b60
hexcad65a40

3403045440 has 112 divisors (see below), whose sum is σ = 12005218560. Its totient is φ = 907476480.

The previous prime is 3403045423. The next prime is 3403045537. The reversal of 3403045440 is 445403043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188296 + ... + 205575.

Almost surely, 23403045440 is an apocalyptic number.

3403045440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3403045440 is an abundant number, since it is smaller than the sum of its proper divisors (8602173120).

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

3403045440 is a wasteful number, since it uses less digits than its factorization.

3403045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393897 (or 393881 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 3403045440 is about 58335.6275358378. The cubic root of 3403045440 is about 1504.1434241525.

Adding to 3403045440 its reverse (445403043), we get a palindrome (3848448483).

It can be divided in two parts, 340304 and 5440, that added together give a square (345744 = 5882).

The spelling of 3403045440 in words is "three billion, four hundred three million, forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 393871 787742 1181613 1575484 1969355 2363226 3150968 3544839 3938710 4726452 5908065 6301936 7089678 7877420 9452904 10634517 11816130 12603872 14179356 15754840 17724195 18905808 21269034 23632260 25207744 28358712 31509680 35448390 37811616 42538068 47264520 53172585 56717424 63019360 70896780 75623232 85076136 94529040 106345170 113434848 126038720 141793560 170152272 189058080 212690340 226869696 283587120 340304544 378116160 425380680 567174240 680609088 850761360 1134348480 1701522720 3403045440