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1340103000 = 233533712073
BaseRepresentation
bin100111111100000…
…0101100101011000
310110101122021201110
41033320011211120
510221031244000
6340551020320
745131454555
oct11770054530
93411567643
101340103000
116284a9245
1231496a6a0
13184839672
14c9d9da2c
157c9b2850
hex4fe05958

1340103000 has 128 divisors (see below), whose sum is σ = 4294480320. Its totient is φ = 347673600.

The previous prime is 1340102987. The next prime is 1340103059. The reversal of 1340103000 is 3010431.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 104964 + ... + 117036.

Almost surely, 21340103000 is an apocalyptic number.

1340103000 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 1340103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147240160).

1340103000 is an abundant number, since it is smaller than the sum of its proper divisors (2954377320).

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

1340103000 is a wasteful number, since it uses less digits than its factorization.

1340103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12134 (or 12120 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1340103000 is about 36607.4172812014. The cubic root of 1340103000 is about 1102.5020181883.

Adding to 1340103000 its reverse (3010431), we get a palindrome (1343113431).

The spelling of 1340103000 in words is "one billion, three hundred forty million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 12073 13875 18500 22200 24146 27750 36219 37000 48292 55500 60365 72438 96584 111000 120730 144876 181095 241460 289752 301825 362190 446701 482920 603650 724380 893402 905475 1207300 1340103 1448760 1509125 1786804 1810950 2233505 2414600 2680206 3018250 3573608 3621900 4467010 4527375 5360412 6036500 6700515 7243800 8934020 9054750 10720824 11167525 12073000 13401030 17868040 18109500 22335050 26802060 33502575 36219000 44670100 53604120 55837625 67005150 89340200 111675250 134010300 167512875 223350500 268020600 335025750 446701000 670051500 1340103000