Search a number
-
+
3098689632 = 2532193671543
BaseRepresentation
bin1011100010110010…
…0100000001100000
321222221201202001200
42320230210001200
522321231032012
61231251401200
7136534266363
oct27054440140
97887652050
103098689632
111350147425
127258b3200
133a4c8977c
142157760da
1513208a3dc
hexb8b24060

3098689632 has 144 divisors (see below), whose sum is σ = 9306984960. Its totient is φ = 975234816.

The previous prime is 3098689621. The next prime is 3098689639. The reversal of 3098689632 is 2369868903.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3098689639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2007453 + ... + 2008995.

It is an arithmetic number, because the mean of its divisors is an integer number (64631840).

Almost surely, 23098689632 is an apocalyptic number.

3098689632 is a gapful number since it is divisible by the number (32) 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 3098689632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653492480).

3098689632 is an abundant number, since it is smaller than the sum of its proper divisors (6208295328).

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

3098689632 is a wasteful number, since it uses less digits than its factorization.

3098689632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 3098689632 is about 55665.8749324934. The cubic root of 3098689632 is about 1457.8942609334.

The spelling of 3098689632 in words is "three billion, ninety-eight million, six hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 367 456 608 684 734 912 1101 1368 1468 1543 1824 2202 2736 2936 3086 3303 4404 4629 5472 5872 6172 6606 6973 8808 9258 11744 12344 13212 13887 13946 17616 18516 20919 24688 26424 27774 27892 29317 35232 37032 41838 49376 52848 55548 55784 58634 62757 74064 83676 87951 105696 111096 111568 117268 125514 148128 167352 175902 222192 223136 234536 251028 263853 334704 351804 444384 469072 502056 527706 566281 669408 703608 938144 1004112 1055412 1132562 1407216 1698843 2008224 2110824 2265124 2814432 3397686 4221648 4530248 5096529 6795372 8443296 9060496 10193058 10759339 13590744 18120992 20386116 21518678 27181488 32278017 40772232 43037356 54362976 64556034 81544464 86074712 96834051 129112068 163088928 172149424 193668102 258224136 344298848 387336204 516448272 774672408 1032896544 1549344816 3098689632