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634774016 = 2917233313
BaseRepresentation
bin100101110101011…
…110001000000000
31122020102212020202
4211311132020000
52300000232031
6142553224332
721505330052
oct4565361000
91566385222
10634774016
112a634a128
121587020a8
13a1682836
14604398d2
153aadb2cb
hex25d5e200

634774016 has 80 divisors (see below), whose sum is σ = 1352987064. Its totient is φ = 296484864.

The previous prime is 634774003. The next prime is 634774039. The reversal of 634774016 is 610477436.

It can be written as a sum of positive squares in 4 ways, for example, as 335622400 + 299151616 = 18320^2 + 17296^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2027876 + ... + 2028188.

Almost surely, 2634774016 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 634774016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676493532).

634774016 is an abundant number, since it is smaller than the sum of its proper divisors (718213048).

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

634774016 is a wasteful number, since it uses less digits than its factorization.

634774016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 634774016 is about 25194.7219869559. The cubic root of 634774016 is about 859.4218288020.

The spelling of 634774016 in words is "six hundred thirty-four million, seven hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 233 256 272 313 466 512 544 626 932 1088 1252 1864 2176 2504 3728 3961 4352 5008 5321 7456 7922 8704 10016 10642 14912 15844 20032 21284 29824 31688 40064 42568 59648 63376 72929 80128 85136 119296 126752 145858 160256 170272 253504 291716 340544 507008 583432 681088 1014016 1166864 1239793 1362176 2028032 2333728 2479586 2724352 4667456 4959172 9334912 9918344 18669824 19836688 37339648 39673376 79346752 158693504 317387008 634774016