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34380450 = 2345213653
BaseRepresentation
bin1000001100100…
…1101010100010
32101200201010000
42003021222202
532300133300
63224520430
7565141356
oct203115242
971621100
1034380450
11184525a5
12b620116
137179a80
1447cd466
153041c00
hex20c9aa2

34380450 has 120 divisors (see below), whose sum is σ = 103032468. Its totient is φ = 8449920.

The previous prime is 34380431. The next prime is 34380461. The reversal of 34380450 is 5408343.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3143529 + 31236921 = 1773^2 + 5589^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52324 + ... + 52976.

Almost surely, 234380450 is an apocalyptic number.

34380450 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 34380450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51516234).

34380450 is an abundant number, since it is smaller than the sum of its proper divisors (68652018).

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

34380450 is a wasteful number, since it uses less digits than its factorization.

34380450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34380450 is about 5863.4844589203. The cubic root of 34380450 is about 325.1650443766.

Adding to 34380450 its reverse (5408343), we get a palindrome (39788793).

The spelling of 34380450 in words is "thirty-four million, three hundred eighty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 130 135 150 162 195 225 234 270 325 351 390 405 450 585 650 653 675 702 810 975 1053 1170 1306 1350 1755 1950 1959 2025 2106 2925 3265 3510 3918 4050 5265 5850 5877 6530 8489 8775 9795 10530 11754 16325 16978 17550 17631 19590 25467 26325 29385 32650 35262 42445 48975 50934 52650 52893 58770 76401 84890 88155 97950 105786 127335 146925 152802 176310 212225 229203 254670 264465 293850 382005 424450 440775 458406 528930 636675 687609 764010 881550 1146015 1273350 1322325 1375218 1910025 2292030 2644650 3438045 3820050 5730075 6876090 11460150 17190225 34380450