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3391007040 = 263251177433
BaseRepresentation
bin1100101000011110…
…1010100101000000
322202022210000011100
43022013222211000
523421044211130
61320253014400
7150014040621
oct31207524500
98668700140
103391007040
111490153863
127a7784400
134206c7755
14242509a48
1514ca7cc60
hexca1ea940

3391007040 has 84 divisors (see below), whose sum is σ = 11663661204. Its totient is φ = 904267776.

The previous prime is 3391006999. The next prime is 3391007057. The reversal of 3391007040 is 407001933.

It can be written as a sum of positive squares in 2 ways, for example, as 598095936 + 2792911104 = 24456^2 + 52848^2 .

It is a super-2 number, since 2×33910070402 = 22997857490659123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3391006995 and 3391007013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585837 + ... + 591596.

Almost surely, 23391007040 is an apocalyptic number.

3391007040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3391007040 is an abundant number, since it is smaller than the sum of its proper divisors (8272654164).

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

3391007040 is a wasteful number, since it uses less digits than its factorization.

3391007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177456 (or 1177443 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3391007040 is about 58232.3538936904. The cubic root of 3391007040 is about 1502.3676741132.

Adding to 3391007040 its reverse (407001933), we get a palindrome (3798008973).

The spelling of 3391007040 in words is "three billion, three hundred ninety-one million, seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 1177433 2354866 3532299 4709732 5887165 7064598 9419464 10596897 11774330 14129196 17661495 18838928 21193794 23548660 28258392 35322990 37677856 42387588 47097320 52984485 56516784 70645980 75355712 84775176 94194640 105968970 113033568 141291960 169550352 188389280 211937940 226067136 282583920 339100704 376778560 423875880 565167840 678201408 847751760 1130335680 1695503520 3391007040