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34423506 = 23213157937
BaseRepresentation
bin1000001101010…
…0001011010010
32101202220011200
42003110023102
532303023011
63225452030
7565411035
oct203241322
971686150
1034423506
1118481987
12b641016
137193550
14480101c
15304e856
hex20d42d2

34423506 has 48 divisors (see below), whose sum is σ = 80919384. Its totient is φ = 10513152.

The previous prime is 34423471. The next prime is 34423507. The reversal of 34423506 is 60532443.

It can be written as a sum of positive squares in 4 ways, for example, as 10949481 + 23474025 = 3309^2 + 4845^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34423506.

It is not an unprimeable number, because it can be changed into a prime (34423507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36270 + ... + 37206.

Almost surely, 234423506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34423506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40459692).

34423506 is an abundant number, since it is smaller than the sum of its proper divisors (46495878).

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

34423506 is a wasteful number, since it uses less digits than its factorization.

34423506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34423506 is about 5867.1548471129. The cubic root of 34423506 is about 325.3007267759.

Adding to 34423506 its reverse (60532443), we get a palindrome (94955949).

The spelling of 34423506 in words is "thirty-four million, four hundred twenty-three thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 157 234 314 471 937 942 1413 1874 2041 2811 2826 4082 5622 6123 8433 12181 12246 16866 18369 24362 36543 36738 73086 109629 147109 219258 294218 441327 882654 1323981 1912417 2647962 3824834 5737251 11474502 17211753 34423506