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34130850 = 23521323761
BaseRepresentation
bin1000001000110…
…0101110100010
32101020000201120
42002030232202
532214141400
63215313110
7563051565
oct202145642
971200646
1034130850
11182a2016
12b51b796
1370c0290
1447664dc
152ee2ca0
hex208cba2

34130850 has 96 divisors (see below), whose sum is σ = 95243904. Its totient is φ = 8025600.

The previous prime is 34130813. The next prime is 34130857. The reversal of 34130850 is 5803143.

It is a self number, because there is not a number n which added to its sum of digits gives 34130850.

It is not an unprimeable number, because it can be changed into a prime (34130857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44470 + ... + 45230.

It is an arithmetic number, because the mean of its divisors is an integer number (992124).

Almost surely, 234130850 is an apocalyptic number.

34130850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34130850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47621952).

34130850 is an abundant number, since it is smaller than the sum of its proper divisors (61113054).

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

34130850 is a wasteful number, since it uses less digits than its factorization.

34130850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 34130850 is about 5842.1614150929. The cubic root of 34130850 is about 324.3762395028.

Adding to 34130850 its reverse (5803143), we get a palindrome (39933993).

It can be divided in two parts, 34130 and 850, that added together give a triangular number (34980 = T264).

The spelling of 34130850 in words is "thirty-four million, one hundred thirty thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 23 25 26 30 39 46 50 65 69 75 78 115 130 138 150 195 230 299 325 345 390 575 598 650 690 761 897 975 1150 1495 1522 1725 1794 1950 2283 2990 3450 3805 4485 4566 7475 7610 8970 9893 11415 14950 17503 19025 19786 22425 22830 29679 35006 38050 44850 49465 52509 57075 59358 87515 98930 105018 114150 148395 175030 227539 247325 262545 296790 437575 455078 494650 525090 682617 741975 875150 1137695 1312725 1365234 1483950 2275390 2625450 3413085 5688475 6826170 11376950 17065425 34130850