Search a number
-
+
34238904 = 2337238861
BaseRepresentation
bin1000001010011…
…1000110111000
32101102111221120
42002213012320
532231121104
63221505240
7564011610
oct202470670
971374846
1034238904
1118366217
12b572220
13712a50b
144793a40
153014cd9
hex20a71b8

34238904 has 64 divisors (see below), whose sum is σ = 102090240. Its totient is φ = 9356160.

The previous prime is 34238891. The next prime is 34238909. The reversal of 34238904 is 40983243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34238909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567 + ... + 8294.

It is an arithmetic number, because the mean of its divisors is an integer number (1595160).

Almost surely, 234238904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34238904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51045120).

34238904 is an abundant number, since it is smaller than the sum of its proper divisors (67851336).

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

34238904 is a wasteful number, since it uses less digits than its factorization.

34238904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8900 (or 8896 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 34238904 is about 5851.4018833097. The cubic root of 34238904 is about 324.7181904258.

The spelling of 34238904 in words is "thirty-four million, two hundred thirty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 8861 17722 26583 35444 53166 62027 70888 106332 124054 186081 203803 212664 248108 372162 407606 496216 611409 744324 815212 1222818 1426621 1488648 1630424 2445636 2853242 4279863 4891272 5706484 8559726 11412968 17119452 34238904