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3409046440 = 235312749231
BaseRepresentation
bin1100101100110001…
…1110101110101000
322210120201111120021
43023030132232220
523440203441230
61322135410224
7150323262622
oct31314365650
98716644507
103409046440
11149a355058
127b1823974
13424372657
14244a83c12
1514e442c7a
hexcb31eba8

3409046440 has 32 divisors (see below), whose sum is σ = 7917788160. Its totient is φ = 1319630400.

The previous prime is 3409046437. The next prime is 3409046507. The reversal of 3409046440 is 446409043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3409046396 and 3409046405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1373376 + ... + 1375855.

It is an arithmetic number, because the mean of its divisors is an integer number (247430880).

Almost surely, 23409046440 is an apocalyptic number.

It is an amenable number.

3409046440 is an abundant number, since it is smaller than the sum of its proper divisors (4508741720).

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

3409046440 is a wasteful number, since it uses less digits than its factorization.

3409046440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749273 (or 2749269 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 3409046440 is about 58387.0400003288. The cubic root of 3409046440 is about 1505.0270507237.

The spelling of 3409046440 in words is "three billion, four hundred nine million, forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 2749231 5498462 10996924 13746155 21993848 27492310 54984620 85226161 109969240 170452322 340904644 426130805 681809288 852261610 1704523220 3409046440