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630134568 = 233273733791
BaseRepresentation
bin100101100011110…
…001011100101000
31121220201011010100
4211203301130220
52242303301233
6142305545400
721421025010
oct4543613450
91556634110
10630134568
112a3770478
12157045260
13a0719bbb
145d98cc40
153a4c1813
hex258f1728

630134568 has 96 divisors (see below), whose sum is σ = 2003189760. Its totient is φ = 175167360.

The previous prime is 630134567. The next prime is 630134623. The reversal of 630134568 is 865431036.

630134568 is a `hidden beast` number, since 6 + 301 + 345 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (630134567) 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, 1753 + ... + 35543.

It is an arithmetic number, because the mean of its divisors is an integer number (20866560).

Almost surely, 2630134568 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 630134568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001594880).

630134568 is an abundant number, since it is smaller than the sum of its proper divisors (1373055192).

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

630134568 is a wasteful number, since it uses less digits than its factorization.

630134568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33847 (or 33840 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 630134568 is about 25102.4813116154. The cubic root of 630134568 is about 857.3229209325.

The spelling of 630134568 in words is "six hundred thirty million, one hundred thirty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 111 126 148 168 222 252 259 296 333 444 504 518 666 777 888 1036 1332 1554 2072 2331 2664 3108 4662 6216 9324 18648 33791 67582 101373 135164 202746 236537 270328 304119 405492 473074 608238 709611 810984 946148 1216476 1250267 1419222 1892296 2128833 2432952 2500534 2838444 3750801 4257666 5001068 5676888 7501602 8515332 8751869 10002136 11252403 15003204 17030664 17503738 22504806 26255607 30006408 35007476 45009612 52511214 70014952 78766821 90019224 105022428 157533642 210044856 315067284 630134568