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3391493040 = 2432513362339
BaseRepresentation
bin1100101000100110…
…0001001110110000
322202100200200211100
43022021201032300
523421210234130
61320311244400
7150021133545
oct31211411660
98670620740
103391493040
111490455a11
127a7979700
13420837a20
142425d4bcc
1514cb26c60
hexca2613b0

3391493040 has 120 divisors (see below), whose sum is σ = 12265933680. Its totient is φ = 834826752.

The previous prime is 3391493029. The next prime is 3391493041. The reversal of 3391493040 is 403941933.

3391493040 is a `hidden beast` number, since 339 + 14 + 9 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3391492986 and 3391493004.

It is not an unprimeable number, because it can be changed into a prime (3391493041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 171810 + ... + 190529.

It is an arithmetic number, because the mean of its divisors is an integer number (102216114).

Almost surely, 23391493040 is an apocalyptic number.

3391493040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3391493040 is an abundant number, since it is smaller than the sum of its proper divisors (8874440640).

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

3391493040 is a wasteful number, since it uses less digits than its factorization.

3391493040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362371 (or 362362 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3391493040 is about 58236.5266821434. The cubic root of 3391493040 is about 1502.4394439249.

The spelling of 3391493040 in words is "three billion, three hundred ninety-one million, four hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 362339 724678 1087017 1449356 1811695 2174034 2898712 3261051 3623390 4348068 4710407 5435085 5797424 6522102 7246780 8696136 9420814 10870170 13044204 14131221 14493560 16305255 17392272 18841628 21740340 23552035 26088408 28262442 28987120 32610510 37683256 42393663 43480680 47104070 52176816 56524884 65221020 70656105 75366512 84787326 86961360 94208140 113049768 130442040 141312210 169574652 188416280 211968315 226099536 260884080 282624420 339149304 376832560 423936630 565248840 678298608 847873260 1130497680 1695746520 3391493040