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2738044680 = 2335719316889
BaseRepresentation
bin1010001100110011…
…0011111100001000
321001211010002012020
42203030303330020
521101414412210
61131405444440
7124564665360
oct24314637410
97054102166
102738044680
111185611548
12644b70720
133483472a7
141bd8d79a0
1511059c770
hexa3333f08

2738044680 has 128 divisors (see below), whose sum is σ = 9436780800. Its totient is φ = 622559232.

The previous prime is 2738044679. The next prime is 2738044691. The reversal of 2738044680 is 864408372.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153676 + ... + 170564.

It is an arithmetic number, because the mean of its divisors is an integer number (73724850).

Almost surely, 22738044680 is an apocalyptic number.

2738044680 is a gapful number since it is divisible by the number (20) 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 2738044680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718390400).

2738044680 is an abundant number, since it is smaller than the sum of its proper divisors (6698736120).

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

2738044680 is a wasteful number, since it uses less digits than its factorization.

2738044680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17103 (or 17099 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2738044680 is about 52326.3287456707. The cubic root of 2738044680 is about 1398.9864568892.

The spelling of 2738044680 in words is "two billion, seven hundred thirty-eight million, forty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 193 210 280 386 420 579 772 840 965 1158 1351 1544 1930 2316 2702 2895 3860 4053 4632 5404 5790 6755 7720 8106 10808 11580 13510 16212 16889 20265 23160 27020 32424 33778 40530 50667 54040 67556 81060 84445 101334 118223 135112 162120 168890 202668 236446 253335 337780 354669 405336 472892 506670 591115 675560 709338 945784 1013340 1182230 1418676 1773345 2026680 2364460 2837352 3259577 3546690 4728920 6519154 7093380 9778731 13038308 14186760 16297885 19557462 22817039 26076616 32595770 39114924 45634078 48893655 65191540 68451117 78229848 91268156 97787310 114085195 130383080 136902234 182536312 195574620 228170390 273804468 342255585 391149240 456340780 547608936 684511170 912681560 1369022340 2738044680