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3420819 = 33316167
BaseRepresentation
bin1101000011001010010011
320102210111000
431003022103
51333431234
6201153043
741035143
oct15031223
96383430
103420819
111a27126
12118b783
1392a06c
14650923
15478899
hex343293

3420819 has 32 divisors (see below), whose sum is σ = 5396480. Its totient is φ = 2138400.

The previous prime is 3420799. The next prime is 3420821. The reversal of 3420819 is 9180243.

It is not a de Polignac number, because 3420819 - 25 = 3420787 is a prime.

It is a super-2 number, since 2×34208192 = 23404005261522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 3420792 and 3420801.

It is not an unprimeable number, because it can be changed into a prime (3420829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51024 + ... + 51090.

It is an arithmetic number, because the mean of its divisors is an integer number (168640).

Almost surely, 23420819 is an apocalyptic number.

3420819 is a deficient number, since it is larger than the sum of its proper divisors (1975661).

3420819 is a wasteful number, since it uses less digits than its factorization.

3420819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3420819 is about 1849.5456198753. The cubic root of 3420819 is about 150.6757511643.

The spelling of 3420819 in words is "three million, four hundred twenty thousand, eight hundred nineteen".

Divisors: 1 3 9 27 31 61 67 93 183 201 279 549 603 837 1647 1809 1891 2077 4087 5673 6231 12261 17019 18693 36783 51057 56079 110349 126697 380091 1140273 3420819