Search a number
-
+
34215426 = 2337267193
BaseRepresentation
bin1000001010000…
…1011000000010
32101101022202000
42002201120002
532224343201
63221204430
7563553300
oct202413002
971338660
1034215426
111834a613
12b560716
13711c91b
144789270
15300cd86
hex20a1602

34215426 has 96 divisors (see below), whose sum is σ = 90233280. Its totient is φ = 9580032.

The previous prime is 34215353. The next prime is 34215431. The reversal of 34215426 is 62451243.

It is a super-2 number, since 2×342154262 = 2341390752722952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 34215426.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177186 + ... + 177378.

It is an arithmetic number, because the mean of its divisors is an integer number (939930).

Almost surely, 234215426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34215426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45116640).

34215426 is an abundant number, since it is smaller than the sum of its proper divisors (56017854).

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

34215426 is a wasteful number, since it uses less digits than its factorization.

34215426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 34215426 is about 5849.3953533677. The cubic root of 34215426 is about 324.6439524877.

Adding to 34215426 its reverse (62451243), we get a palindrome (96666669).

The spelling of 34215426 in words is "thirty-four million, two hundred fifteen thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 67 98 126 134 147 189 193 201 294 378 386 402 441 469 579 603 882 938 1158 1206 1323 1351 1407 1737 1809 2646 2702 2814 3283 3474 3618 4053 4221 5211 6566 8106 8442 9457 9849 10422 12159 12663 12931 18914 19698 24318 25326 25862 28371 29547 36477 38793 56742 59094 72954 77586 85113 88641 90517 116379 170226 177282 181034 232758 255339 271551 349137 510678 543102 633619 698274 814653 1267238 1629306 1900857 2443959 3801714 4887918 5702571 11405142 17107713 34215426