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1340420220 = 22325231991627
BaseRepresentation
bin100111111100101…
…0011000001111100
310110102020101212100
41033321103001330
510221121421340
6341001505100
745134245446
oct11771230174
93412211770
101340420220
116286a5607
12314aa2190
1318491ab79
14ca043496
157ca26830
hex4fe5307c

1340420220 has 144 divisors (see below), whose sum is σ = 4266662400. Its totient is φ = 339977088.

The previous prime is 1340420183. The next prime is 1340420269. The reversal of 1340420220 is 220240431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1340420193 and 1340420202.

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 47 ways as a sum of consecutive naturals, for example, 823047 + ... + 824673.

It is an arithmetic number, because the mean of its divisors is an integer number (29629600).

Almost surely, 21340420220 is an apocalyptic number.

1340420220 is a gapful number since it is divisible by the number (10) 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 1340420220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133331200).

1340420220 is an abundant number, since it is smaller than the sum of its proper divisors (2926242180).

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

1340420220 is a wasteful number, since it uses less digits than its factorization.

1340420220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1340420220 is about 36611.7497533237. The cubic root of 1340420220 is about 1102.5890035663.

Adding to 1340420220 its reverse (220240431), we get a palindrome (1560660651).

The spelling of 1340420220 in words is "one billion, three hundred forty million, four hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 199 207 230 276 345 398 414 460 597 690 796 828 995 1035 1194 1380 1627 1791 1990 2070 2388 2985 3254 3582 3980 4140 4577 4881 5970 6508 7164 8135 8955 9154 9762 11940 13731 14643 16270 17910 18308 19524 22885 24405 27462 29286 32540 35820 37421 41193 45770 48810 54924 58572 68655 73215 74842 82386 91540 97620 112263 137310 146430 149684 164772 187105 205965 224526 274620 292860 323773 336789 374210 411930 449052 561315 647546 673578 748420 823860 971319 1122630 1295092 1347156 1618865 1683945 1942638 2245260 2913957 3237730 3367890 3885276 4856595 5827914 6475460 6735780 7446779 9713190 11655828 14569785 14893558 19426380 22340337 29139570 29787116 37233895 44680674 58279140 67021011 74467790 89361348 111701685 134042022 148935580 223403370 268084044 335105055 446806740 670210110 1340420220