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2030031440 = 2451953113223
BaseRepresentation
bin111100011111111…
…1101001001010000
312020110212021121122
41320333331021100
513124142001230
6533234341412
7101206661003
oct17077751120
95213767548
102030031440
11951999738
12487a2a868
13264760748
1415387553a
15bd345be5
hex78ffd250

2030031440 has 160 divisors (see below), whose sum is σ = 5129671680. Its totient is φ = 744726528.

The previous prime is 2030031439. The next prime is 2030031457. The reversal of 2030031440 is 441300302.

It is a congruent number.

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, 9103169 + ... + 9103391.

It is an arithmetic number, because the mean of its divisors is an integer number (32060448).

Almost surely, 22030031440 is an apocalyptic number.

2030031440 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 2030031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564835840).

2030031440 is an abundant number, since it is smaller than the sum of its proper divisors (3099640240).

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

2030031440 is a wasteful number, since it uses less digits than its factorization.

2030031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2030031440 is about 45055.8702057790. The cubic root of 2030031440 is about 1266.1959537524.

Adding to 2030031440 its reverse (441300302), we get a palindrome (2471331742).

The spelling of 2030031440 in words is "two billion, thirty million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 53 76 80 95 106 113 152 190 212 223 226 265 304 380 424 446 452 530 565 760 848 892 904 1007 1060 1115 1130 1520 1784 1808 2014 2120 2147 2230 2260 3568 4028 4237 4240 4294 4460 4520 5035 5989 8056 8474 8588 8920 9040 10070 10735 11819 11978 16112 16948 17176 17840 20140 21185 21470 23638 23956 25199 29945 33896 34352 40280 42370 42940 47276 47912 50398 59095 59890 67792 80560 84740 85880 94552 95824 100796 113791 118190 119780 125995 169480 171760 189104 201592 224561 227582 236380 239560 251990 338960 403184 449122 455164 472760 478781 479120 503980 568955 898244 910328 945520 957562 1007960 1122805 1137910 1335547 1796488 1820656 1915124 2015920 2245610 2275820 2393905 2671094 3592976 3830248 4491220 4551640 4787810 5342188 6677735 7660496 8982440 9103280 9575620 10684376 13355470 17964880 19151240 21368752 25375393 26710940 38302480 50750786 53421880 101501572 106843760 126876965 203003144 253753930 406006288 507507860 1015015720 2030031440