Search a number
-
+
34797568 = 211131307
BaseRepresentation
bin1000010010111…
…1100000000000
32102110220021211
42010233200000
532402010233
63241455504
7601526431
oct204574000
972426254
1034797568
1118707a23
12b7a1594
1372948a0
14489b488
1530c55cd
hex212f800

34797568 has 48 divisors (see below), whose sum is σ = 74987640. Its totient is φ = 16048128.

The previous prime is 34797557. The next prime is 34797599. The reversal of 34797568 is 86579743.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25971 + ... + 27277.

Almost surely, 234797568 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 34797568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37493820).

34797568 is an abundant number, since it is smaller than the sum of its proper divisors (40190072).

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

34797568 is a wasteful number, since it uses less digits than its factorization.

34797568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1322 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 49.

The square root of 34797568 is about 5898.9463465944. The cubic root of 34797568 is about 326.4747746154.

The spelling of 34797568 in words is "thirty-four million, seven hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1307 1664 2048 2614 3328 5228 6656 10456 13312 16991 20912 26624 33982 41824 67964 83648 135928 167296 271856 334592 543712 669184 1087424 1338368 2174848 2676736 4349696 8699392 17398784 34797568