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634710648 = 2331113792341
BaseRepresentation
bin100101110101001…
…110101001111000
31122020022122022210
4211311032221320
52244441220043
6142552015120
721504644235
oct4565165170
91566278283
10634710648
112a6306560
121586914a0
13a165ca40
146042078c
153aac7633
hex25d4ea78

634710648 has 128 divisors (see below), whose sum is σ = 1888588800. Its totient is φ = 175219200.

The previous prime is 634710641. The next prime is 634710667. The reversal of 634710648 is 846017436.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634710641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269958 + ... + 272298.

It is an arithmetic number, because the mean of its divisors is an integer number (14754600).

Almost surely, 2634710648 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 634710648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944294400).

634710648 is an abundant number, since it is smaller than the sum of its proper divisors (1253878152).

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

634710648 is a wasteful number, since it uses less digits than its factorization.

634710648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 634710648 is about 25193.4643905915. The cubic root of 634710648 is about 859.3932298290.

The spelling of 634710648 in words is "six hundred thirty-four million, seven hundred ten thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 79 88 104 132 143 156 158 237 264 286 312 316 429 474 572 632 858 869 948 1027 1144 1716 1738 1896 2054 2341 2607 3081 3432 3476 4108 4682 5214 6162 6952 7023 8216 9364 10428 11297 12324 14046 18728 20856 22594 24648 25751 28092 30433 33891 45188 51502 56184 60866 67782 77253 90376 91299 103004 121732 135564 154506 182598 184939 206008 243464 271128 309012 334763 365196 369878 554817 618024 669526 730392 739756 1004289 1109634 1339052 1479512 2008578 2034329 2219268 2404207 2678104 4017156 4068658 4438536 4808414 6102987 7212621 8034312 8137316 9616828 12205974 14425242 16274632 19233656 24411948 26446277 28850484 48823896 52892554 57700968 79338831 105785108 158677662 211570216 317355324 634710648