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3384797 = 133137227
BaseRepresentation
bin1100111010010111011101
320100222001212
430322113131
51331303142
6200314205
740525133
oct14722735
96328055
103384797
111a02059
121172965
13916850
14641753
1546cd82
hex33a5dd

3384797 has 16 divisors (see below), whose sum is σ = 3881472. Its totient is φ = 2928960.

The previous prime is 3384781. The next prime is 3384803. The reversal of 3384797 is 7974833.

It is a cyclic number.

It is not a de Polignac number, because 3384797 - 24 = 3384781 is a prime.

It is a super-3 number, since 3×33847973 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a d-powerful number, because it can be written as 37 + 311 + 87 + 410 + 73 + 95 + 73 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14798 + ... + 15024.

It is an arithmetic number, because the mean of its divisors is an integer number (242592).

Almost surely, 23384797 is an apocalyptic number.

3384797 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

3384797 is a deficient number, since it is larger than the sum of its proper divisors (496675).

3384797 is a wasteful number, since it uses less digits than its factorization.

3384797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308.

The product of its digits is 127008, while the sum is 41.

The square root of 3384797 is about 1839.7817805381. The cubic root of 3384797 is about 150.1450005279.

The spelling of 3384797 in words is "three million, three hundred eighty-four thousand, seven hundred ninety-seven".

Divisors: 1 13 31 37 227 403 481 1147 2951 7037 8399 14911 91481 109187 260369 3384797