Search a number
-
+
3301048576 = 28717108359
BaseRepresentation
bin1100010011000010…
…0000000100000000
322112001111122100101
43010300200010000
523230032023301
61303320532144
7144542310220
oct30460400400
98461448311
103301048576
1114443a0721
12781621054
13407b8b6a7
142345b0080
15144c0d701
hexc4c20100

3301048576 has 72 divisors (see below), whose sum is σ = 7973562240. Its totient is φ = 1331503104.

The previous prime is 3301048567. The next prime is 3301048601. The reversal of 3301048576 is 6758401033.

It is a super-2 number, since 2×33010485762 = 21793843402223255552, which contains 22 as substring.

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, 23716 + ... + 84643.

It is an arithmetic number, because the mean of its divisors is an integer number (110743920).

Almost surely, 23301048576 is an apocalyptic number.

It is an amenable number.

3301048576 is an abundant number, since it is smaller than the sum of its proper divisors (4672513664).

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

3301048576 is a wasteful number, since it uses less digits than its factorization.

3301048576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108399 (or 108385 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 3301048576 is about 57454.7524231025. The cubic root of 3301048576 is about 1488.9632257267.

The spelling of 3301048576 in words is "three billion, three hundred one million, forty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2176 3808 4352 7616 15232 30464 108359 216718 433436 758513 866872 1517026 1733744 1842103 3034052 3467488 3684206 6068104 6934976 7368412 12136208 12894721 13869952 14736824 24272416 25789442 27739904 29473648 48544832 51578884 58947296 97089664 103157768 117894592 194179328 206315536 235789184 412631072 471578368 825262144 1650524288 3301048576