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3404340240 = 243572026393
BaseRepresentation
bin1100101011101010…
…0001110000010000
322210020212101212120
43022322201300100
523433002341430
61321450454240
7150235262130
oct31272416020
98706771776
103404340240
111497730234
127b0134380
134233b5512
142441baac0
1514dd13610
hexcaea1c10

3404340240 has 80 divisors (see below), whose sum is σ = 12061097088. Its totient is φ = 778134528.

The previous prime is 3404340217. The next prime is 3404340259. The reversal of 3404340240 is 420434043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3404340240.

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 15 ways as a sum of consecutive naturals, for example, 1011517 + ... + 1014876.

Almost surely, 23404340240 is an apocalyptic number.

3404340240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3404340240 is an abundant number, since it is smaller than the sum of its proper divisors (8656756848).

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

3404340240 is a wasteful number, since it uses less digits than its factorization.

3404340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026416 (or 2026410 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3404340240 is about 58346.7243296485. The cubic root of 3404340240 is about 1504.3341668257.

Adding to 3404340240 its reverse (420434043), we get a palindrome (3824774283).

The spelling of 3404340240 in words is "three billion, four hundred four million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2026393 4052786 6079179 8105572 10131965 12158358 14184751 16211144 20263930 24316716 28369502 30395895 32422288 40527860 42554253 48633432 56739004 60791790 70923755 81055720 85108506 97266864 113478008 121583580 141847510 162111440 170217012 212771265 226956016 243167160 283695020 340434024 425542530 486334320 567390040 680868048 851085060 1134780080 1702170120 3404340240