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634256970 = 235232921093
BaseRepresentation
bin100101110011011…
…111111001001010
31122012110120222220
4211303133321022
52244332210340
6142534154510
721501044454
oct4563377112
91565416886
10634256970
112a6026716
121584b2a36
13a15313a9
14603432d4
153aa37ed0
hex25cdfe4a

634256970 has 96 divisors (see below), whose sum is σ = 1646566272. Its totient is φ = 156059904.

The previous prime is 634256969. The next prime is 634256971. The reversal of 634256970 is 79652436.

It is an interprime number because it is at equal distance from previous prime (634256969) and next prime (634256971).

It is not an unprimeable number, because it can be changed into a prime (634256971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579744 + ... + 580836.

It is an arithmetic number, because the mean of its divisors is an integer number (17151732).

Almost surely, 2634256970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634256970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823283136).

634256970 is an abundant number, since it is smaller than the sum of its proper divisors (1012309302).

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

634256970 is a wasteful number, since it uses less digits than its factorization.

634256970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 634256970 is about 25184.4588982968. The cubic root of 634256970 is about 859.1884222082.

The spelling of 634256970 in words is "six hundred thirty-four million, two hundred fifty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 230 290 345 435 667 690 841 870 1093 1334 1682 2001 2186 2523 3279 3335 4002 4205 5046 5465 6558 6670 8410 10005 10930 12615 16395 19343 20010 25139 25230 31697 32790 38686 50278 58029 63394 75417 95091 96715 116058 125695 150834 158485 190182 193430 251390 290145 316970 377085 475455 580290 729031 754170 919213 950910 1458062 1838426 2187093 2757639 3645155 4374186 4596065 5515278 7290310 9192130 10935465 13788195 21141899 21870930 27576390 42283798 63425697 105709495 126851394 211418990 317128485 634256970