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34240050 = 23352131951
BaseRepresentation
bin1000001010011…
…1011000110010
32101102120112000
42002213120302
532231140200
63221514430
7564015135
oct202473062
971376460
1034240050
1118367069
12b572a16
13712abb0
14479421c
153015300
hex20a7632

34240050 has 96 divisors (see below), whose sum is σ = 101660160. Its totient is φ = 8424000.

The previous prime is 34240021. The next prime is 34240069. The reversal of 34240050 is 5004243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16575 + ... + 18525.

It is an arithmetic number, because the mean of its divisors is an integer number (1058960).

Almost surely, 234240050 is an apocalyptic number.

34240050 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 34240050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50830080).

34240050 is an abundant number, since it is smaller than the sum of its proper divisors (67420110).

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

34240050 is a wasteful number, since it uses less digits than its factorization.

34240050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34240050 is about 5851.4998077416. The cubic root of 34240050 is about 324.7218132334.

34240050 divided by its sum of digits (18) gives a triangular number (1902225 = T1950).

Adding to 34240050 its reverse (5004243), we get a palindrome (39244293).

The spelling of 34240050 in words is "thirty-four million, two hundred forty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 90 117 130 135 150 195 225 234 270 325 351 390 450 585 650 675 702 975 1170 1350 1755 1950 1951 2925 3510 3902 5850 5853 8775 9755 11706 17550 17559 19510 25363 29265 35118 48775 50726 52677 58530 76089 87795 97550 105354 126815 146325 152178 175590 228267 253630 263385 292650 380445 438975 456534 526770 634075 684801 760890 877950 1141335 1268150 1316925 1369602 1902225 2282670 2633850 3424005 3804450 5706675 6848010 11413350 17120025 34240050