Search a number
-
+
3344445216 = 253272236993
BaseRepresentation
bin1100011101011000…
…0010111100100000
322122002011102100100
43013112002330200
523322134221331
61311511022400
7145610213100
oct30726027440
98562142310
103344445216
111466941212
1279406aa00
13413b74288
1423a269200
15148931ae6
hexc7582f20

3344445216 has 108 divisors (see below), whose sum is σ = 11063590902. Its totient is φ = 955551744.

The previous prime is 3344445191. The next prime is 3344445217. The reversal of 3344445216 is 6125444433.

It can be written as a sum of positive squares in only one way, i.e., 3310851600 + 33593616 = 57540^2 + 5796^2 .

It is a super-2 number, since 2×33444452162 = 22370627605650573312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3344445217) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104385 + ... + 132608.

Almost surely, 23344445216 is an apocalyptic number.

3344445216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3344445216 is an abundant number, since it is smaller than the sum of its proper divisors (7719145686).

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

3344445216 is a wasteful number, since it uses less digits than its factorization.

3344445216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237023 (or 237005 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 3344445216 is about 57831.1785804163. The cubic root of 3344445216 is about 1495.4596359293.

Adding to 3344445216 its reverse (6125444433), we get a palindrome (9469889649).

The spelling of 3344445216 in words is "three billion, three hundred forty-four million, four hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 236993 473986 710979 947972 1421958 1658951 1895944 2132937 2843916 3317902 3791888 4265874 4976853 5687832 6635804 7583776 8531748 9953706 11375664 11612657 13271608 14930559 17063496 19907412 22751328 23225314 26543216 29861118 34126992 34837971 39814824 46450628 53086432 59722236 68253984 69675942 79629648 92901256 104513913 119444472 139351884 159259296 185802512 209027826 238888944 278703768 371605024 418055652 477777888 557407536 836111304 1114815072 1672222608 3344445216