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34300434 = 2371953811
BaseRepresentation
bin1000001011011…
…0001000010010
32101112122100110
42002312020102
532240103214
63223102150
7564356160
oct202661022
971478313
1034300434
11183a8473
12b5a1956
13714c51c
1447ac230
153028159
hex20b6212

34300434 has 64 divisors (see below), whose sum is σ = 84188160. Its totient is φ = 9097920.

The previous prime is 34300433. The next prime is 34300439. The reversal of 34300434 is 43400343.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 34300434.

It is not an unprimeable number, because it can be changed into a prime (34300433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41889 + ... + 42699.

It is an arithmetic number, because the mean of its divisors is an integer number (1315440).

Almost surely, 234300434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34300434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42094080).

34300434 is an abundant number, since it is smaller than the sum of its proper divisors (49887726).

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

34300434 is a wasteful number, since it uses less digits than its factorization.

34300434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895.

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 34300434 is about 5856.6572377082. The cubic root of 34300434 is about 324.9125887210.

Adding to 34300434 its reverse (43400343), we get a palindrome (77700777).

Subtracting 34300434 from its reverse (43400343), we obtain a palindrome (9099909).

The spelling of 34300434 in words is "thirty-four million, three hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 53 57 106 114 133 159 266 318 371 399 742 798 811 1007 1113 1622 2014 2226 2433 3021 4866 5677 6042 7049 11354 14098 15409 17031 21147 30818 34062 42294 42983 46227 85966 92454 107863 128949 215726 257898 300881 323589 601762 647178 816677 902643 1633354 1805286 2450031 4900062 5716739 11433478 17150217 34300434