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3089101440 = 27358591873
BaseRepresentation
bin1011100000011111…
…1111001010000000
321222021200121112110
42320013333022000
522311302221230
61230310055320
7136356633435
oct27007771200
97867617473
103089101440
1113457986a7
1272264a540
133a2cb0499
1421439bb8c
151312e44b0
hexb81ff280

3089101440 has 128 divisors (see below), whose sum is σ = 9863236800. Its totient is φ = 822362112.

The previous prime is 3089101439. The next prime is 3089101447. The reversal of 3089101440 is 441019803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×30891014402 = 19085095413220147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3089101398 and 3089101407.

It is not an unprimeable number, because it can be changed into a prime (3089101447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1648344 + ... + 1650216.

Almost surely, 23089101440 is an apocalyptic number.

3089101440 is a gapful number since it is divisible by the number (30) 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 3089101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931618400).

3089101440 is an abundant number, since it is smaller than the sum of its proper divisors (6774135360).

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

3089101440 is a wasteful number, since it uses less digits than its factorization.

3089101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3089101440 is about 55579.6854974909. The cubic root of 3089101440 is about 1456.3889996321.

The spelling of 3089101440 in words is "three billion, eighty-nine million, one hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 859 960 1718 1873 1920 2577 3436 3746 4295 5154 5619 6872 7492 8590 9365 10308 11238 12885 13744 14984 17180 18730 20616 22476 25770 27488 28095 29968 34360 37460 41232 44952 51540 54976 56190 59936 68720 74920 82464 89904 103080 109952 112380 119872 137440 149840 164928 179808 206160 224760 239744 274880 299680 329856 359616 412320 449520 549760 599360 719232 824640 899040 1198720 1608907 1649280 1798080 3217814 3596160 4826721 6435628 8044535 9653442 12871256 16089070 19306884 24133605 25742512 32178140 38613768 48267210 51485024 64356280 77227536 96534420 102970048 128712560 154455072 193068840 205940096 257425120 308910144 386137680 514850240 617820288 772275360 1029700480 1544550720 3089101440