Search a number
-
+
34612056 = 2333236967
BaseRepresentation
bin1000010000001…
…0001101011000
32102010110211000
42010002031120
532330041211
63233505000
7600124533
oct204021530
972113730
1034612056
11185a0606
12b712160
13722b30b
14484da1a
15308a656
hex2102358

34612056 has 64 divisors (see below), whose sum is σ = 100339200. Its totient is φ = 11034144.

The previous prime is 34612049. The next prime is 34612073. The reversal of 34612056 is 65021643.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485 + ... + 8451.

It is an arithmetic number, because the mean of its divisors is an integer number (1567800).

Almost surely, 234612056 is an apocalyptic number.

34612056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34612056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50169600).

34612056 is an abundant number, since it is smaller than the sum of its proper divisors (65727144).

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

34612056 is a wasteful number, since it uses less digits than its factorization.

34612056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7005 (or 6995 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34612056 is about 5883.2011694315. The cubic root of 34612056 is about 325.8935756089.

Adding to 34612056 its reverse (65021643), we get a palindrome (99633699).

The spelling of 34612056 in words is "thirty-four million, six hundred twelve thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 6967 13934 20901 27868 41802 55736 62703 83604 125406 160241 167208 188109 250812 320482 376218 480723 501624 640964 752436 961446 1281928 1442169 1504872 1922892 2884338 3845784 4326507 5768676 8653014 11537352 17306028 34612056