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34309436 = 2272923147
BaseRepresentation
bin1000001011100…
…0010100111100
32101120002200212
42002320110330
532240400221
63223211552
7564424340
oct202702474
971502625
1034309436
1118404207
12b5a6bb8
137153655
1447b1620
15302ab5b
hex20b853c

34309436 has 72 divisors (see below), whose sum is σ = 74919936. Its totient is φ = 13446720.

The previous prime is 34309433. The next prime is 34309439. The reversal of 34309436 is 63490343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34309433) and next prime (34309439).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34309433) 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 23 ways as a sum of consecutive naturals, for example, 729965 + ... + 730011.

Almost surely, 234309436 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 34309436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37459968).

34309436 is an abundant number, since it is smaller than the sum of its proper divisors (40610500).

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

34309436 is a wasteful number, since it uses less digits than its factorization.

34309436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The square root of 34309436 is about 5857.4257144244. The cubic root of 34309436 is about 324.9410102009.

Adding to 34309436 its reverse (63490343), we get a palindrome (97799779).

The spelling of 34309436 in words is "thirty-four million, three hundred nine thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 29 31 47 58 62 94 116 124 188 203 217 329 406 434 658 812 841 868 899 1316 1363 1457 1682 1798 2726 2914 3364 3596 5452 5828 5887 6293 9541 10199 11774 12586 19082 20398 23548 25172 26071 38164 39527 40796 42253 52142 79054 84506 104284 158108 169012 182497 276689 295771 364994 553378 591542 729988 1106756 1183084 1225337 2450674 4901348 8577359 17154718 34309436