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2123343440 = 245234347571
BaseRepresentation
bin111111010001111…
…1010011001010000
312110222110000121122
41332203322121100
513322033442230
6550410341412
7103422056441
oct17643723120
95428400548
102123343440
1199a632399
124b312a868
1327aba204a
141620052c8
15c6628be5
hex7e8fa650

2123343440 has 160 divisors (see below), whose sum is σ = 5392797696. Its totient is φ = 775272960.

The previous prime is 2123343437. The next prime is 2123343473. The reversal of 2123343440 is 443433212.

2123343440 = 30352 + 30362 + ... + 32492.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3718355 + ... + 3718925.

Almost surely, 22123343440 is an apocalyptic number.

2123343440 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 2123343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696398848).

2123343440 is an abundant number, since it is smaller than the sum of its proper divisors (3269454256).

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

2123343440 is a wasteful number, since it uses less digits than its factorization.

2123343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 2123343440 is about 46079.7508673821. The cubic root of 2123343440 is about 1285.3066314429.

Adding to 2123343440 its reverse (443433212), we get a palindrome (2566776652).

The spelling of 2123343440 in words is "two billion, one hundred twenty-three million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 43 46 47 80 86 92 94 115 172 184 188 215 230 235 344 368 376 430 460 470 571 688 752 860 920 940 989 1081 1142 1720 1840 1880 1978 2021 2162 2284 2855 3440 3760 3956 4042 4324 4568 4945 5405 5710 7912 8084 8648 9136 9890 10105 10810 11420 13133 15824 16168 17296 19780 20210 21620 22840 24553 26266 26837 32336 39560 40420 43240 45680 46483 49106 52532 53674 65665 79120 80840 86480 92966 98212 105064 107348 122765 131330 134185 161680 185932 196424 210128 214696 232415 245530 262660 268370 371864 392848 429392 464830 491060 525320 536740 564719 617251 743728 929660 982120 1050640 1073480 1129438 1153991 1234502 1859320 1964240 2146960 2258876 2307982 2469004 2823595 3086255 3718640 4517752 4615964 4938008 5647190 5769955 6172510 9035504 9231928 9876016 11294380 11539910 12345020 18463856 22588760 23079820 24690040 26541793 45177520 46159640 49380080 53083586 92319280 106167172 132708965 212334344 265417930 424668688 530835860 1061671720 2123343440