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3409945 = 571117521
BaseRepresentation
bin1101000000100000011001
320102020120021
431000200121
51333104240
6201030441
740661350
oct15004031
96366507
103409945
111a19a40
121185421
13925126
1464a997
1547554a
hex340819

3409945 has 32 divisors (see below), whose sum is σ = 5412096. Its totient is φ = 1996800.

The previous prime is 3409937. The next prime is 3409981. The reversal of 3409945 is 5499043.

It is not a de Polignac number, because 3409945 - 23 = 3409937 is a prime.

It is a super-3 number, since 3×34099453 (a number of 21 digits) contains 333 as substring.

It is a Duffinian number.

3409945 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3409945.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6285 + ... + 6805.

It is an arithmetic number, because the mean of its divisors is an integer number (169128).

Almost surely, 23409945 is an apocalyptic number.

3409945 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3409945 is a deficient number, since it is larger than the sum of its proper divisors (2002151).

3409945 is a wasteful number, since it uses less digits than its factorization.

3409945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561.

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 3409945 is about 1846.6036391170. The cubic root of 3409945 is about 150.5159271305.

It can be divided in two parts, 340 and 9945, that multiplied together give a triangular number (3381300 = T2600).

The spelling of 3409945 in words is "three million, four hundred nine thousand, nine hundred forty-five".

Divisors: 1 5 7 11 17 35 55 77 85 119 187 385 521 595 935 1309 2605 3647 5731 6545 8857 18235 28655 40117 44285 61999 97427 200585 309995 487135 681989 3409945