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3244375008 = 253271998087
BaseRepresentation
bin1100000101100001…
…0011101111100000
322101002212022211100
43001120103233200
523121030000013
61253534114400
7143253506160
oct30130235740
98332768740
103244375008
111415401a66
1276664ba00
133c9207834
1422ac5a5a0
1513ec66473
hexc1613be0

3244375008 has 144 divisors (see below), whose sum is σ = 10598515200. Its totient is φ = 922192128.

The previous prime is 3244374997. The next prime is 3244375037. The reversal of 3244375008 is 8005734423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397141 + ... + 405227.

It is an arithmetic number, because the mean of its divisors is an integer number (73600800).

Almost surely, 23244375008 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 3244375008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299257600).

3244375008 is an abundant number, since it is smaller than the sum of its proper divisors (7354140192).

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

3244375008 is a wasteful number, since it uses less digits than its factorization.

3244375008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8309 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3244375008 is about 56959.4154464387. The cubic root of 3244375008 is about 1480.3929757533.

The spelling of 3244375008 in words is "three billion, two hundred forty-four million, three hundred seventy-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 199 224 252 288 336 398 504 597 672 796 1008 1194 1393 1592 1791 2016 2388 2786 3184 3582 4179 4776 5572 6368 7164 8087 8358 9552 11144 12537 14328 16174 16716 19104 22288 24261 25074 28656 32348 33432 44576 48522 50148 56609 57312 64696 66864 72783 97044 100296 113218 129392 133728 145566 169827 194088 200592 226436 258784 291132 339654 388176 401184 452872 509481 582264 679308 776352 905744 1018962 1164528 1358616 1609313 1811488 2037924 2329056 2717232 3218626 4075848 4827939 5434464 6437252 8151696 9655878 11265191 12874504 14483817 16303392 19311756 22530382 25749008 28967634 33795573 38623512 45060764 51498016 57935268 67591146 77247024 90121528 101386719 115870536 135182292 154494048 180243056 202773438 231741072 270364584 360486112 405546876 463482144 540729168 811093752 1081458336 1622187504 3244375008