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34360050 = 23523741151
BaseRepresentation
bin1000001100010…
…0101011110010
32101122200010110
42003010223302
532244010200
63224242150
7565025034
oct203045362
971580113
1034360050
111843923a
12b610356
1371706ba
1447c5c54
15303ab50
hex20c4af2

34360050 has 96 divisors (see below), whose sum is σ = 90244224. Its totient is φ = 8640000.

The previous prime is 34360033. The next prime is 34360057. The reversal of 34360050 is 5006343.

It is a super-2 number, since 2×343600502 = 2361226072005000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34359999 and 34360026.

It is not an unprimeable number, because it can be changed into a prime (34360057) by changing a digit.

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, 227475 + ... + 227625.

It is an arithmetic number, because the mean of its divisors is an integer number (940044).

Almost surely, 234360050 is an apocalyptic number.

34360050 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 34360050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45122112).

34360050 is an abundant number, since it is smaller than the sum of its proper divisors (55884174).

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

34360050 is a wasteful number, since it uses less digits than its factorization.

34360050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 34360050 is about 5861.7446208445. The cubic root of 34360050 is about 325.1007182908.

Adding to 34360050 its reverse (5006343), we get a palindrome (39366393).

The spelling of 34360050 in words is "thirty-four million, three hundred sixty thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 41 50 74 75 82 111 123 150 151 185 205 222 246 302 370 410 453 555 615 755 906 925 1025 1110 1230 1510 1517 1850 2050 2265 2775 3034 3075 3775 4530 4551 5550 5587 6150 6191 7550 7585 9102 11174 11325 12382 15170 16761 18573 22650 22755 27935 30955 33522 37146 37925 45510 55870 61910 75850 83805 92865 113775 139675 154775 167610 185730 227550 229067 279350 309550 419025 458134 464325 687201 838050 928650 1145335 1374402 2290670 3436005 5726675 6872010 11453350 17180025 34360050