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1340340120 = 233257275983
BaseRepresentation
bin100111111100011…
…1111011110011000
310110102002022222200
41033320333132120
510221111340440
6341000050200
745133463100
oct11770773630
93412068880
101340340120
11628650409
12314a63960
131848c0582
14ca022200
157ca0cc30
hex4fe3f798

1340340120 has 144 divisors (see below), whose sum is σ = 5067372960. Its totient is φ = 306359424.

The previous prime is 1340340119. The next prime is 1340340139. The reversal of 1340340120 is 210430431.

It is a super-2 number, since 2×13403401202 = 3593023274563228800, which contains 22 as substring.

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 = 1340340093 and 1340340102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20352 + ... + 55631.

It is an arithmetic number, because the mean of its divisors is an integer number (35190090).

Almost surely, 21340340120 is an apocalyptic number.

1340340120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340340120 is an abundant number, since it is smaller than the sum of its proper divisors (3727032840).

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

1340340120 is a wasteful number, since it uses less digits than its factorization.

1340340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76014 (or 76000 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1340340120 is about 36610.6558258658. The cubic root of 1340340120 is about 1102.5670405190.

Adding to 1340340120 its reverse (210430431), we get a palindrome (1550770551).

The spelling of 1340340120 in words is "one billion, three hundred forty million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 75983 151966 227949 303932 379915 455898 531881 607864 683847 759830 911796 1063762 1139745 1367694 1519660 1595643 1823592 2127524 2279490 2659405 2735388 3039320 3191286 3419235 3723167 4255048 4558980 4786929 5318810 5470776 6382572 6838470 7446334 7978215 9117960 9573858 10637620 11169501 12765144 13676940 14892668 15956430 18615835 19147716 21275240 22339002 23934645 27353880 29785336 31912860 33508503 37231670 38295432 44678004 47869290 55847505 63825720 67017006 74463340 89356008 95738580 111695010 134034012 148926680 167542515 191477160 223390020 268068024 335085030 446780040 670170060 1340340120