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34101419 = 1129532017
BaseRepresentation
bin1000001000010…
…1100010101011
32101011112100112
42002011202223
532212221134
63214524535
7562600022
oct202054253
971145315
1034101419
11182819a0
12b50674b
1370aca71
1447598b9
152ed91ce
hex20858ab

34101419 has 16 divisors (see below), whose sum is σ = 39229920. Its totient is φ = 29352960.

The previous prime is 34101407. The next prime is 34101427. The reversal of 34101419 is 91410143.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34101419 is a prime.

It is a super-2 number, since 2×341014192 = 2325813555627122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34101394 and 34101403.

It is not an unprimeable number, because it can be changed into a prime (34101919) 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, 15899 + ... + 17915.

It is an arithmetic number, because the mean of its divisors is an integer number (2451870).

Almost surely, 234101419 is an apocalyptic number.

34101419 is a deficient number, since it is larger than the sum of its proper divisors (5128501).

34101419 is a wasteful number, since it uses less digits than its factorization.

34101419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 34101419 is about 5839.6420266999. The cubic root of 34101419 is about 324.2829762482.

The spelling of 34101419 in words is "thirty-four million, one hundred one thousand, four hundred nineteen".

Divisors: 1 11 29 53 319 583 1537 2017 16907 22187 58493 106901 643423 1175911 3100129 34101419