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634429136 = 24113313
BaseRepresentation
bin100101110100001…
…001111011010000
31122012210100011102
4211310021323100
52244403213021
6142542003532
721502362425
oct4564117320
91565710142
10634429136
112a6134000
121585765a8
13a1591873
1460389d4c
153aa6e00b
hex25d09ed0

634429136 has 80 divisors (see below), whose sum is σ = 1397101056. Its totient is φ = 279074400.

The previous prime is 634429129. The next prime is 634429139. The reversal of 634429136 is 631924436.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a self number, because there is not a number n which added to its sum of digits gives 634429136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634429139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20465441 + ... + 20465471.

Almost surely, 2634429136 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 634429136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698550528).

634429136 is an abundant number, since it is smaller than the sum of its proper divisors (762671920).

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

634429136 is an frugal number, since it uses more digits than its factorization.

634429136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 44 counting only the distinct ones).

The product of its digits is 93312, while the sum is 38.

The square root of 634429136 is about 25187.8767664128. The cubic root of 634429136 is about 859.2661560283.

The spelling of 634429136 in words is "six hundred thirty-four million, four hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 176 242 248 341 484 496 682 961 968 1331 1364 1922 1936 2662 2728 3751 3844 5324 5456 7502 7688 10571 10648 15004 15376 21142 21296 29791 30008 41261 42284 59582 60016 82522 84568 116281 119164 165044 169136 232562 238328 327701 330088 465124 476656 655402 660176 930248 1279091 1310804 1860496 2558182 2621608 3604711 5116364 5243216 7209422 10232728 14418844 20465456 28837688 39651821 57675376 79303642 158607284 317214568 634429136