Search a number
-
+
3480576 = 210311103
BaseRepresentation
bin1101010001110000000000
320112211110020
431101300000
51342334301
6202333440
741404311
oct15216000
96484406
103480576
111a68010
1211ba280
1394b318
14668608
1548b436
hex351c00

3480576 has 88 divisors (see below), whose sum is σ = 10218624. Its totient is φ = 1044480.

The previous prime is 3480569. The next prime is 3480611. The reversal of 3480576 is 6750843.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×34805762 = 24228818583552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33741 + ... + 33843.

Almost surely, 23480576 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 3480576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109312).

3480576 is an abundant number, since it is smaller than the sum of its proper divisors (6738048).

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

3480576 is a wasteful number, since it uses less digits than its factorization.

3480576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3480576 is about 1865.6301884350. The cubic root of 3480576 is about 151.5480573831.

The spelling of 3480576 in words is "three million, four hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 103 128 132 176 192 206 256 264 309 352 384 412 512 528 618 704 768 824 1024 1056 1133 1236 1408 1536 1648 2112 2266 2472 2816 3072 3296 3399 4224 4532 4944 5632 6592 6798 8448 9064 9888 11264 13184 13596 16896 18128 19776 26368 27192 33792 36256 39552 52736 54384 72512 79104 105472 108768 145024 158208 217536 290048 316416 435072 580096 870144 1160192 1740288 3480576