Search a number
-
+
630403104 = 25331474507
BaseRepresentation
bin100101100100110…
…011000000100000
31121221012210111010
4211210303000200
52242340344404
6142315420520
721423223632
oct4544630040
91557183433
10630403104
112a3934201
12157154740
13a07b21b6
145da1ca52
153a526189
hex25933020

630403104 has 96 divisors (see below), whose sum is σ = 1744920576. Its totient is φ = 198984960.

The previous prime is 630403093. The next prime is 630403121. The reversal of 630403104 is 401304036.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137619 + ... + 142125.

It is an arithmetic number, because the mean of its divisors is an integer number (18176256).

Almost surely, 2630403104 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 630403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872460288).

630403104 is an abundant number, since it is smaller than the sum of its proper divisors (1114517472).

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

630403104 is a wasteful number, since it uses less digits than its factorization.

630403104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 630403104 is about 25107.8295358241. The cubic root of 630403104 is about 857.4446882415. Note that the first 3 decimals are identical.

The spelling of 630403104 in words is "six hundred thirty million, four hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 93 94 96 124 141 186 188 248 282 372 376 496 564 744 752 992 1128 1457 1488 1504 2256 2914 2976 4371 4507 4512 5828 8742 9014 11656 13521 17484 18028 23312 27042 34968 36056 46624 54084 69936 72112 108168 139717 139872 144224 211829 216336 279434 419151 423658 432672 558868 635487 838302 847316 1117736 1270974 1676604 1694632 2235472 2541948 3353208 3389264 4470944 5083896 6566699 6706416 6778528 10167792 13133398 13412832 19700097 20335584 26266796 39400194 52533592 78800388 105067184 157600776 210134368 315201552 630403104