Search a number
-
+
34337316 = 223131032137
BaseRepresentation
bin1000001011111…
…1001000100100
32101121111221110
42002333020210
532242243231
63223545020
7564601536
oct202771044
971544843
1034337316
1118423152
12b5bb170
137163250
1447bb856
153034046
hex20bf224

34337316 has 48 divisors (see below), whose sum is σ = 87161984. Its totient is φ = 10457856.

The previous prime is 34337291. The next prime is 34337341. The reversal of 34337316 is 61373343.

It is an interprime number because it is at equal distance from previous prime (34337291) and next prime (34337341).

It is an unprimeable number.

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, 15000 + ... + 17136.

Almost surely, 234337316 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 34337316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43580992).

34337316 is an abundant number, since it is smaller than the sum of its proper divisors (52824668).

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

34337316 is a wasteful number, since it uses less digits than its factorization.

34337316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2258 counting only the distinct ones).

The product of its digits is 13608, while the sum is 30.

The square root of 34337316 is about 5859.8051162133. The cubic root of 34337316 is about 325.0290025400.

The spelling of 34337316 in words is "thirty-four million, three hundred thirty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 156 206 309 412 618 1236 1339 2137 2678 4017 4274 5356 6411 8034 8548 12822 16068 25644 27781 55562 83343 111124 166686 220111 333372 440222 660333 880444 1320666 2641332 2861443 5722886 8584329 11445772 17168658 34337316