Search a number
-
+
3356258048 = 281113175393
BaseRepresentation
bin1100100000001100…
…0110111100000000
322122220101120111122
43020003012330000
523333200224143
61313012131412
7146112502613
oct31003067400
98586346448
103356258048
11147257a390
12798006b68
1341644c010
1423ba6217a
151499b6c68
hexc80c6f00

3356258048 has 144 divisors (see below), whose sum is σ = 8335154016. Its totient is φ = 1325137920.

The previous prime is 3356258029. The next prime is 3356258051. The reversal of 3356258048 is 8408526533.

It is a super-2 number, since 2×33562580482 = 22528936169529540608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619640 + ... + 625032.

It is an arithmetic number, because the mean of its divisors is an integer number (57883014).

Almost surely, 23356258048 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 3356258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167577008).

3356258048 is an abundant number, since it is smaller than the sum of its proper divisors (4978895968).

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

3356258048 is a wasteful number, since it uses less digits than its factorization.

3356258048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The square root of 3356258048 is about 57933.2205906076. The cubic root of 3356258048 is about 1497.2182589854.

The spelling of 3356258048 in words is "three billion, three hundred fifty-six million, two hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 64 68 88 104 128 136 143 176 187 208 221 256 272 286 352 374 416 442 544 572 704 748 832 884 1088 1144 1408 1496 1664 1768 2176 2288 2431 2816 2992 3328 3536 4352 4576 4862 5393 5984 7072 9152 9724 10786 11968 14144 18304 19448 21572 23936 28288 36608 38896 43144 47872 56576 59323 70109 77792 86288 91681 118646 140218 155584 172576 183362 237292 280436 311168 345152 366724 474584 560872 622336 690304 733448 771199 949168 1008491 1121744 1191853 1380608 1466896 1542398 1898336 2016982 2243488 2383706 2933792 3084796 3796672 4033964 4486976 4767412 5867584 6169592 7593344 8067928 8973952 9534824 11735168 12339184 13110383 15186688 16135856 17947904 19069648 23470336 24678368 26220766 32271712 38139296 49356736 52441532 64543424 76278592 98713472 104883064 129086848 152557184 197426944 209766128 258173696 305114368 419532256 839064512 1678129024 3356258048