Search a number
-
+
34209497 = 723718869
BaseRepresentation
bin1000001001111…
…1111011011001
32101101000121102
42002133323121
532224200442
63221121145
7563530100
oct202377331
971330542
1034209497
1118346113
12b5591b5
13711a00a
144787037
15300b232
hex209fed9

34209497 has 12 divisors (see below), whose sum is σ = 40872420. Its totient is φ = 28528416.

The previous prime is 34209451. The next prime is 34209499. The reversal of 34209497 is 79490243.

It can be written as a sum of positive squares in 2 ways, for example, as 32307856 + 1901641 = 5684^2 + 1379^2 .

It is not a de Polignac number, because 34209497 - 214 = 34193113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34209497.

It is not an unprimeable number, because it can be changed into a prime (34209499) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7622 + ... + 11247.

It is an arithmetic number, because the mean of its divisors is an integer number (3406035).

Almost surely, 234209497 is an apocalyptic number.

34209497 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

34209497 is a deficient number, since it is larger than the sum of its proper divisors (6662923).

34209497 is a wasteful number, since it uses less digits than its factorization.

34209497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18920 (or 18913 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 34209497 is about 5848.8885268912. Note that the first 3 decimals coincide. The cubic root of 34209497 is about 324.6251994923.

The spelling of 34209497 in words is "thirty-four million, two hundred nine thousand, four hundred ninety-seven".

Divisors: 1 7 37 49 259 1813 18869 132083 698153 924581 4887071 34209497