Search a number
-
+
3368533248 = 28321462037
BaseRepresentation
bin1100100011000111…
…1011110100000000
322200202111012220200
43020301323310000
523344321030443
61314131205200
7146322026433
oct31061736400
98622435820
103368533248
1114794a3983
127a0146800
13418b59352
1423d53981a
1514aadddd3
hexc8c7bd00

3368533248 has 54 divisors (see below), whose sum is σ = 9712318434. Its totient is φ = 1122843648.

The previous prime is 3368533177. The next prime is 3368533249. The reversal of 3368533248 is 8423358633.

3368533248 is a `hidden beast` number, since 33 + 68 + 533 + 24 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3068273664 + 300259584 = 55392^2 + 17328^2 .

It is a super-2 number, since 2×33685332482 = 22694032485762859008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3368533249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 728715 + ... + 733322.

Almost surely, 23368533248 is an apocalyptic number.

It is an amenable number.

3368533248 is an abundant number, since it is smaller than the sum of its proper divisors (6343785186).

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

3368533248 is a wasteful number, since it uses less digits than its factorization.

3368533248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462059 (or 1462042 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 3368533248 is about 58039.0665672700. The cubic root of 3368533248 is about 1499.0413501241.

The spelling of 3368533248 in words is "three billion, three hundred sixty-eight million, five hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 1462037 2924074 4386111 5848148 8772222 11696296 13158333 17544444 23392592 26316666 35088888 46785184 52633332 70177776 93570368 105266664 140355552 187140736 210533328 280711104 374281472 421066656 561422208 842133312 1122844416 1684266624 3368533248