Search a number
-
+
34352424 = 233541431
BaseRepresentation
bin1000001100001…
…0110100101000
32101122021200000
42003002310220
532243234144
63224143000
7564663561
oct203026450
971567600
1034352424
1118433537
12b607a60
13716a0a2
1447c3168
153038769
hex20c2d28

34352424 has 96 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 11145600.

The previous prime is 34352411. The next prime is 34352431. The reversal of 34352424 is 42425343.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79489 + ... + 79919.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 234352424 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 34352424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

34352424 is an abundant number, since it is smaller than the sum of its proper divisors (64713816).

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

34352424 is a wasteful number, since it uses less digits than its factorization.

34352424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 34352424 is about 5861.0940958152. The cubic root of 34352424 is about 325.0766651485.

Adding to 34352424 its reverse (42425343), we get a palindrome (76777767).

The spelling of 34352424 in words is "thirty-four million, three hundred fifty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 243 246 324 328 369 431 486 492 648 738 862 972 984 1107 1293 1476 1724 1944 2214 2586 2952 3321 3448 3879 4428 5172 6642 7758 8856 9963 10344 11637 13284 15516 17671 19926 23274 26568 31032 34911 35342 39852 46548 53013 69822 70684 79704 93096 104733 106026 139644 141368 159039 209466 212052 279288 318078 418932 424104 477117 636156 837864 954234 1272312 1431351 1908468 2862702 3816936 4294053 5725404 8588106 11450808 17176212 34352424