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34341904 = 2417126257
BaseRepresentation
bin1000001100000…
…0010000010000
32101121202020101
42003000100100
532242420104
63224022144
7564621112
oct203002020
971552211
1034341904
1118426643
12b601954
13716536c
1447bd3b2
1530355a4
hex20c0410

34341904 has 20 divisors (see below), whose sum is σ = 70451964. Its totient is φ = 16160768.

The previous prime is 34341899. The next prime is 34341929. The reversal of 34341904 is 40914343.

It can be written as a sum of positive squares in 2 ways, for example, as 26501904 + 7840000 = 5148^2 + 2800^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62857 + ... + 63400.

Almost surely, 234341904 is an apocalyptic number.

34341904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34341904 is an abundant number, since it is smaller than the sum of its proper divisors (36110060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34341904 is a wasteful number, since it uses less digits than its factorization.

34341904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126282 (or 126276 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 34341904 is about 5860.1965837333. The cubic root of 34341904 is about 325.0434782069.

It can be divided in two parts, 34341 and 904, that added together give a triangular number (35245 = T265).

The spelling of 34341904 in words is "thirty-four million, three hundred forty-one thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 126257 252514 505028 1010056 2020112 2146369 4292738 8585476 17170952 34341904