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34419 = 3711149
BaseRepresentation
bin1000011001110011
31202012210
420121303
52100134
6423203
7202230
oct103163
952183
1034419
1123950
1217b03
1312888
14c787
15a2e9
hex8673

34419 has 16 divisors (see below), whose sum is σ = 57600. Its totient is φ = 17760.

The previous prime is 34403. The next prime is 34421. The reversal of 34419 is 91443.

34419 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34419 - 24 = 34403 is a prime.

It is a super-2 number, since 2×344192 = 2369335122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 34395 and 34404.

It is not an unprimeable number, because it can be changed into a prime (34429) 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, 157 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

234419 is an apocalyptic number.

34419 is a deficient number, since it is larger than the sum of its proper divisors (23181).

34419 is a wasteful number, since it uses less digits than its factorization.

34419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170.

The product of its digits is 432, while the sum is 21.

The square root of 34419 is about 185.5235834065. The cubic root of 34419 is about 32.5286532318.

It can be divided in two parts, 344 and 19, that added together give a palindrome (363).

The spelling of 34419 in words is "thirty-four thousand, four hundred nineteen".

Divisors: 1 3 7 11 21 33 77 149 231 447 1043 1639 3129 4917 11473 34419