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34130544 = 2437157647
BaseRepresentation
bin1000001000110…
…0101001110000
32101020000022020
42002030221300
532214134134
63215311440
7563050650
oct202145160
971200266
1034130544
11182a1868
12b51b580
1370c00b6
144766360
152ee2b49
hex208ca70

34130544 has 80 divisors (see below), whose sum is σ = 101564928. Its totient is φ = 9674496.

The previous prime is 34130501. The next prime is 34130549. The reversal of 34130544 is 44503143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52429 + ... + 53075.

Almost surely, 234130544 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 34130544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50782464).

34130544 is an abundant number, since it is smaller than the sum of its proper divisors (67434384).

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

34130544 is a wasteful number, since it uses less digits than its factorization.

34130544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34130544 is about 5842.1352260967. The cubic root of 34130544 is about 324.3752701020.

Adding to 34130544 its reverse (44503143), we get a palindrome (78633687).

The spelling of 34130544 in words is "thirty-four million, one hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 157 168 314 336 471 628 647 942 1099 1256 1294 1884 1941 2198 2512 2588 3297 3768 3882 4396 4529 5176 6594 7536 7764 8792 9058 10352 13188 13587 15528 17584 18116 26376 27174 31056 36232 52752 54348 72464 101579 108696 203158 217392 304737 406316 609474 711053 812632 1218948 1422106 1625264 2133159 2437896 2844212 4266318 4875792 5688424 8532636 11376848 17065272 34130544