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634012020 = 2232523374139
BaseRepresentation
bin100101110010100…
…100000101110100
31122012000010222200
4211302210011310
52244301341040
6142525024500
721466004355
oct4562440564
91565003880
10634012020
112a5979684
121583b5130
13a1476a55
14602bbd2c
153a9da630
hex25ca4174

634012020 has 144 divisors (see below), whose sum is σ = 2061521280. Its totient is φ = 157310208.

The previous prime is 634012013. The next prime is 634012021. The reversal of 634012020 is 20210436.

It is a happy number.

634012020 is a `hidden beast` number, since 63 + 401 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 634011984 and 634012002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634012021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151111 + ... + 155249.

It is an arithmetic number, because the mean of its divisors is an integer number (14316120).

Almost surely, 2634012020 is an apocalyptic number.

634012020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030760640).

634012020 is an abundant number, since it is smaller than the sum of its proper divisors (1427509260).

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

634012020 is a wasteful number, since it uses less digits than its factorization.

634012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 634012020 is about 25179.5953104890. The cubic root of 634012020 is about 859.0778017958.

Adding to 634012020 its reverse (20210436), we get a palindrome (654222456).

The spelling of 634012020 in words is "six hundred thirty-four million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 37 45 46 60 69 74 90 92 111 115 138 148 180 185 207 222 230 276 333 345 370 414 444 460 555 666 690 740 828 851 1035 1110 1332 1380 1665 1702 2070 2220 2553 3330 3404 4139 4140 4255 5106 6660 7659 8278 8510 10212 12417 12765 15318 16556 17020 20695 24834 25530 30636 37251 38295 41390 49668 51060 62085 74502 76590 82780 95197 124170 149004 153143 153180 186255 190394 248340 285591 306286 372510 380788 459429 475985 571182 612572 745020 765715 856773 918858 951970 1142364 1378287 1427955 1531430 1713546 1837716 1903940 2297145 2756574 2855910 3062860 3427092 3522289 4283865 4594290 5513148 5711820 6891435 7044578 8567730 9188580 10566867 13782870 14089156 17135460 17611445 21133734 27565740 31700601 35222890 42267468 52834335 63401202 70445780 105668670 126802404 158503005 211337340 317006010 634012020