Search a number
-
+
34045424 = 2471717881
BaseRepresentation
bin1000000111011…
…1110111110000
32101001200112122
42001313313300
532203423144
63213413412
7562244540
oct201676760
971050478
1034045424
1118243916
12b49a268
13709042a
144743320
152ec77ee
hex2077df0

34045424 has 40 divisors (see below), whose sum is σ = 79825248. Its totient is φ = 13731840.

The previous prime is 34045411. The next prime is 34045463. The reversal of 34045424 is 42454043.

It is a junction number, because it is equal to n+sod(n) for n = 34045393 and 34045402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7037 + ... + 10844.

Almost surely, 234045424 is an apocalyptic number.

34045424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34045424 is an abundant number, since it is smaller than the sum of its proper divisors (45779824).

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

34045424 is a wasteful number, since it uses less digits than its factorization.

34045424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17913 (or 17907 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 34045424 is about 5834.8456706240. The cubic root of 34045424 is about 324.1053866391.

Adding to 34045424 its reverse (42454043), we get a palindrome (76499467).

The spelling of 34045424 in words is "thirty-four million, forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 17881 35762 71524 125167 143048 250334 286096 303977 500668 607954 1001336 1215908 2002672 2127839 2431816 4255678 4863632 8511356 17022712 34045424