Search a number
-
+
634070304 = 25327367857
BaseRepresentation
bin100101110010110…
…010010100100000
31122012010002221100
4211302302110200
52244310222204
6142530154400
721466336320
oct4562622440
91565102840
10634070304
112a5a0944a
12158422a00
13a149743a
14602d5280
153a9eca39
hex25cb2520

634070304 has 144 divisors (see below), whose sum is σ = 2068754688. Its totient is φ = 180458496.

The previous prime is 634070293. The next prime is 634070309. The reversal of 634070304 is 403070436.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (634070309) 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, 739444 + ... + 740300.

It is an arithmetic number, because the mean of its divisors is an integer number (14366352).

Almost surely, 2634070304 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 634070304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034377344).

634070304 is an abundant number, since it is smaller than the sum of its proper divisors (1434684384).

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

634070304 is a wasteful number, since it uses less digits than its factorization.

634070304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 634070304 is about 25180.7526495933. The cubic root of 634070304 is about 859.1041256692.

The spelling of 634070304 in words is "six hundred thirty-four million, seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 367 504 672 734 857 1008 1101 1468 1714 2016 2202 2569 2571 2936 3303 3428 4404 5138 5142 5872 5999 6606 6856 7707 7713 8808 10276 10284 11744 11998 13212 13712 15414 15426 17616 17997 20552 20568 23121 23996 26424 27424 30828 30852 35232 35994 41104 41136 46242 47992 52848 53991 61656 61704 71988 82208 82272 92484 95984 105696 107982 123312 123408 143976 184968 191968 215964 246624 246816 287952 314519 369936 431928 575904 629038 739872 863856 943557 1258076 1727712 1887114 2201633 2516152 2830671 3774228 4403266 5032304 5661342 6604899 7548456 8806532 10064608 11322684 13209798 15096912 17613064 19814697 22645368 26419596 30193824 35226128 39629394 45290736 52839192 70452256 79258788 90581472 105678384 158517576 211356768 317035152 634070304