Search a number
-
+
34067340 = 22325533571
BaseRepresentation
bin1000000111110…
…1001110001100
32101002210121100
42001331032030
532210123330
63214103100
7562365456
oct201751614
971083540
1034067340
111825932a
12b4aaa90
13709a3b8
14474b2d6
152ece060
hex207d38c

34067340 has 72 divisors (see below), whose sum is σ = 105316848. Its totient is φ = 8910720.

The previous prime is 34067329. The next prime is 34067377. The reversal of 34067340 is 4376043.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7755 + ... + 11325.

It is an arithmetic number, because the mean of its divisors is an integer number (1462734).

Almost surely, 234067340 is an apocalyptic number.

34067340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34067340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52658424).

34067340 is an abundant number, since it is smaller than the sum of its proper divisors (71249508).

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

34067340 is a wasteful number, since it uses less digits than its factorization.

34067340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 34067340 is about 5836.7233958789. The cubic root of 34067340 is about 324.1749169822.

The spelling of 34067340 in words is "thirty-four million, sixty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 3571 4770 7142 9540 10713 14284 17855 21426 32139 35710 42852 53565 64278 71420 107130 128556 160695 189263 214260 321390 378526 567789 642780 757052 946315 1135578 1703367 1892630 2271156 2838945 3406734 3785260 5677890 6813468 8516835 11355780 17033670 34067340