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3241975104 = 26344311451
BaseRepresentation
bin1100000100111100…
…1001110101000000
322100221100101210000
43001033021311000
523114421200404
61253410440000
7143224222314
oct30117116500
98327311700
103241975104
111414012975
12765893000
133c8877384
1422a7d3b44
1513e940339
hexc13c9d40

3241975104 has 140 divisors (see below), whose sum is σ = 9639165888. Its totient is φ = 1077408000.

The previous prime is 3241975069. The next prime is 3241975109. The reversal of 3241975104 is 4015791423.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3241975109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2233579 + ... + 2235029.

Almost surely, 23241975104 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 3241975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819582944).

3241975104 is an abundant number, since it is smaller than the sum of its proper divisors (6397190784).

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

3241975104 is a wasteful number, since it uses less digits than its factorization.

3241975104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3241975104 is about 56938.3447599243. The cubic root of 3241975104 is about 1480.0278640968.

The spelling of 3241975104 in words is "three billion, two hundred forty-one million, nine hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 431 432 576 648 862 864 1293 1296 1451 1724 1728 2586 2592 2902 3448 3879 4353 5172 5184 5804 6896 7758 8706 10344 11608 11637 13059 13792 15516 17412 20688 23216 23274 26118 27584 31032 34824 34911 39177 41376 46432 46548 52236 62064 69648 69822 78354 82752 92864 93096 104472 117531 124128 139296 139644 156708 186192 208944 235062 248256 278592 279288 313416 372384 417888 470124 558576 625381 626832 744768 835776 940248 1117152 1250762 1253664 1876143 1880496 2234304 2501524 2507328 3752286 3760992 5003048 5628429 7504572 7521984 10006096 11256858 15009144 16885287 20012192 22513716 30018288 33770574 40024384 45027432 50655861 60036576 67541148 90054864 101311722 120073152 135082296 180109728 202623444 270164592 360219456 405246888 540329184 810493776 1080658368 1620987552 3241975104