Search a number
-
+
34348806 = 2331723171
BaseRepresentation
bin1000001100000…
…1111100000110
32101122002201000
42003001330012
532243130211
63224114130
7564650202
oct203017406
971562630
1034348806
1118430848
12b605946
13716854b
1447c1b02
153037656
hex20c1f06

34348806 has 96 divisors (see below), whose sum is σ = 84879360. Its totient is φ = 10281600.

The previous prime is 34348799. The next prime is 34348813. The reversal of 34348806 is 60884343.

It is an interprime number because it is at equal distance from previous prime (34348799) and next prime (34348813).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483751 + ... + 483821.

It is an arithmetic number, because the mean of its divisors is an integer number (884160).

Almost surely, 234348806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34348806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42439680).

34348806 is an abundant number, since it is smaller than the sum of its proper divisors (50530554).

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

34348806 is a wasteful number, since it uses less digits than its factorization.

34348806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 34348806 is about 5860.7854422424. The cubic root of 34348806 is about 325.0652523812.

The spelling of 34348806 in words is "thirty-four million, three hundred forty-eight thousand, eight hundred six".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 71 93 102 142 153 186 213 279 289 306 426 459 527 558 578 639 837 867 918 1054 1207 1278 1581 1674 1734 1917 2201 2414 2601 3162 3621 3834 4402 4743 5202 6603 7242 7803 8959 9486 10863 13206 14229 15606 17918 19809 20519 21726 26877 28458 32589 37417 39618 41038 53754 59427 61557 65178 74834 80631 112251 118854 123114 161262 184671 224502 241893 336753 369342 483786 554013 636089 673506 1010259 1108026 1272178 1908267 2020518 3816534 5724801 11449602 17174403 34348806