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634872616 = 237217472027
BaseRepresentation
bin100101110101110…
…110001100101000
31122020121212111121
4211311312030220
52300011410431
6142555305024
721506220400
oct4565661450
91566555447
10634872616
112a6407214
1215874b174
13a16b8691
1460463800
153ab0a611
hex25d76328

634872616 has 96 divisors (see below), whose sum is σ = 1498124160. Its totient is φ = 250510848.

The previous prime is 634872607. The next prime is 634872617. The reversal of 634872616 is 616278436.

634872616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634872617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312195 + ... + 314221.

It is an arithmetic number, because the mean of its divisors is an integer number (15605460).

Almost surely, 2634872616 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 634872616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749062080).

634872616 is an abundant number, since it is smaller than the sum of its proper divisors (863251544).

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

634872616 is a wasteful number, since it uses less digits than its factorization.

634872616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2100 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 634872616 is about 25196.6786700152. The cubic root of 634872616 is about 859.4663247449.

The spelling of 634872616 in words is "six hundred thirty-four million, eight hundred seventy-two thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 47 49 56 68 94 98 119 136 188 196 238 329 376 392 476 658 799 833 952 1316 1598 1666 2027 2303 2632 3196 3332 4054 4606 5593 6392 6664 8108 9212 11186 14189 16216 18424 22372 28378 34459 39151 44744 56756 68918 78302 95269 99323 113512 137836 156604 190538 198646 241213 275672 313208 381076 397292 482426 666883 762152 794584 964852 1333766 1619573 1688491 1929704 2667532 3239146 3376982 4668181 5335064 6478292 6753964 9336362 11337011 12956584 13507928 18672724 22674022 37345448 45348044 79359077 90696088 158718154 317436308 634872616