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3420495 = 335131949
BaseRepresentation
bin1101000011000101001111
320102210001000
431003011033
51333423440
6201151343
741034201
oct15030517
96383030
103420495
111a26961
12118b553
13929b80
14650771
15478730
hex34314f

3420495 has 32 divisors (see below), whose sum is σ = 6552000. Its totient is φ = 1683072.

The previous prime is 3420493. The next prime is 3420497. The reversal of 3420495 is 5940243.

3420495 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3420493) and next prime (3420497).

It is not a de Polignac number, because 3420495 - 21 = 3420493 is a prime.

It is a super-3 number, since 3×34204953 (a number of 21 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781 + ... + 2729.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

Almost surely, 23420495 is an apocalyptic number.

3420495 is the 1170-th heptagonal number.

3420495 is a deficient number, since it is larger than the sum of its proper divisors (3131505).

3420495 is a wasteful number, since it uses less digits than its factorization.

3420495 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3420495 is about 1849.4580287208. The cubic root of 3420495 is about 150.6709939717.

The spelling of 3420495 in words is "three million, four hundred twenty thousand, four hundred ninety-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 1949 5847 9745 17541 25337 29235 52623 76011 87705 126685 228033 263115 380055 684099 1140165 3420495