Search a number
-
+
34435730 = 2572312267
BaseRepresentation
bin1000001101011…
…1001010010010
32101210111221102
42003113022102
532303420410
63230024402
7565461500
oct203271222
971714842
1034435730
111849008a
12b648102
137198c94
144805670
1530532a5
hex20d7292

34435730 has 48 divisors (see below), whose sum is σ = 74462976. Its totient is φ = 11420640.

The previous prime is 34435729. The next prime is 34435757. The reversal of 34435730 is 3753443.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34435693 and 34435702.

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 23 ways as a sum of consecutive naturals, for example, 14057 + ... + 16323.

It is an arithmetic number, because the mean of its divisors is an integer number (1551312).

Almost surely, 234435730 is an apocalyptic number.

34435730 is an abundant number, since it is smaller than the sum of its proper divisors (40027246).

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

34435730 is a wasteful number, since it uses less digits than its factorization.

34435730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 29.

The square root of 34435730 is about 5868.1964861446. The cubic root of 34435730 is about 325.3392276527.

The spelling of 34435730 in words is "thirty-four million, four hundred thirty-five thousand, seven hundred thirty".

Divisors: 1 2 5 7 10 14 31 35 49 62 70 98 155 217 245 310 434 490 1085 1519 2170 2267 3038 4534 7595 11335 15190 15869 22670 31738 70277 79345 111083 140554 158690 222166 351385 491939 555415 702770 983878 1110830 2459695 3443573 4919390 6887146 17217865 34435730