Search a number
-
+
34209816 = 2338871607
BaseRepresentation
bin1000001010000…
…0000000011000
32101101001001020
42002200000120
532224203231
63221122440
7563531034
oct202400030
971331036
1034209816
1118346383
12b559420
13711a1c4
1447871c4
15300b396
hex20a0018

34209816 has 32 divisors (see below), whose sum is σ = 85674240. Its totient is φ = 11383328.

The previous prime is 34209787. The next prime is 34209817. The reversal of 34209816 is 61890243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34209817) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20485 + ... + 22091.

It is an arithmetic number, because the mean of its divisors is an integer number (2677320).

Almost surely, 234209816 is an apocalyptic number.

It is an amenable number.

34209816 is an abundant number, since it is smaller than the sum of its proper divisors (51464424).

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

34209816 is a wasteful number, since it uses less digits than its factorization.

34209816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 34209816 is about 5848.9157969661. The cubic root of 34209816 is about 324.6262085212.

The spelling of 34209816 in words is "thirty-four million, two hundred nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 887 1607 1774 2661 3214 3548 4821 5322 6428 7096 9642 10644 12856 19284 21288 38568 1425409 2850818 4276227 5701636 8552454 11403272 17104908 34209816