Search a number
-
+
340072704 = 2832672203
BaseRepresentation
bin10100010001010…
…001100100000000
3212200220111001100
4110101101210000
51144024311304
653424534400
711266366416
oct2421214400
9780814040
10340072704
11164a64724
1295a81400
13555bb76a
14332452b6
151ecc7439
hex14451900

340072704 has 108 divisors (see below), whose sum is σ = 995599696. Its totient is φ = 111614976.

The previous prime is 340072703. The next prime is 340072717. The reversal of 340072704 is 407270043.

It is not an unprimeable number, because it can be changed into a prime (340072703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153267 + ... + 155469.

Almost surely, 2340072704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497799848).

340072704 is an abundant number, since it is smaller than the sum of its proper divisors (655526992).

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

340072704 is a wasteful number, since it uses less digits than its factorization.

340072704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 340072704 is about 18441.0602732056. The cubic root of 340072704 is about 698.0029501549.

The spelling of 340072704 in words is "three hundred forty million, seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 384 402 536 576 603 768 804 1072 1152 1206 1608 2144 2203 2304 2412 3216 4288 4406 4824 6432 6609 8576 8812 9648 12864 13218 17152 17624 19296 19827 25728 26436 35248 38592 39654 51456 52872 70496 77184 79308 105744 140992 147601 154368 158616 211488 281984 295202 317232 422976 442803 563968 590404 634464 845952 885606 1180808 1268928 1328409 1691904 1771212 2361616 2537856 2656818 3542424 4723232 5075712 5313636 7084848 9446464 10627272 14169696 18892928 21254544 28339392 37785856 42509088 56678784 85018176 113357568 170036352 340072704