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3418393 = 11372227
BaseRepresentation
bin1101000010100100011001
320102200011011
431002210121
51333342033
6201133521
741025106
oct15024431
96380134
103418393
111a25320
12118a2a1
13928c24
1464daad
15477ccd
hex342919

3418393 has 12 divisors (see below), whose sum is σ = 3849552. Its totient is φ = 3010320.

The previous prime is 3418381. The next prime is 3418397. The reversal of 3418393 is 3938143.

It is not a de Polignac number, because 3418393 - 29 = 3417881 is a prime.

It is a super-3 number, since 3×34183933 (a number of 21 digits) contains 333 as substring.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (3418397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14946 + ... + 15172.

It is an arithmetic number, because the mean of its divisors is an integer number (320796).

Almost surely, 23418393 is an apocalyptic number.

It is an amenable number.

3418393 is a deficient number, since it is larger than the sum of its proper divisors (431159).

3418393 is a wasteful number, since it uses less digits than its factorization.

3418393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 275 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 3418393 is about 1848.8896668001. The cubic root of 3418393 is about 150.6401236515.

The spelling of 3418393 in words is "three million, four hundred eighteen thousand, three hundred ninety-three".

Divisors: 1 11 37 227 407 1369 2497 8399 15059 92389 310763 3418393