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1340000000 = 285767
BaseRepresentation
bin100111111011110…
…1100011100000000
310110101110001102122
41033313230130000
510221020000000
6340544503412
745130545353
oct11767543400
93411401378
101340000000
11628438919
1231491ab68
13184801811
14c9d7429a
157c992085
hex4fdec700

1340000000 has 144 divisors (see below), whose sum is σ = 3393350688. Its totient is φ = 528000000.

The previous prime is 1339999967. The next prime is 1340000003. The reversal of 1340000000 is 431.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340000003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19999967 + ... + 20000033.

Almost surely, 21340000000 is an apocalyptic number.

1340000000 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 1340000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696675344).

1340000000 is an abundant number, since it is smaller than the sum of its proper divisors (2053350688).

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

1340000000 is an frugal number, since it uses more digits than its factorization.

1340000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1340000000 is about 36606.0104354463. The cubic root of 1340000000 is about 1102.4737714497.

Adding to 1340000000 its reverse (431), we get a palindrome (1340000431).

The spelling of 1340000000 in words is "one billion, three hundred forty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 125 128 134 160 200 250 256 268 320 335 400 500 536 625 640 670 800 1000 1072 1250 1280 1340 1600 1675 2000 2144 2500 2680 3125 3200 3350 4000 4288 5000 5360 6250 6400 6700 8000 8375 8576 10000 10720 12500 13400 15625 16000 16750 17152 20000 21440 25000 26800 31250 32000 33500 40000 41875 42880 50000 53600 62500 67000 78125 80000 83750 85760 100000 107200 125000 134000 156250 160000 167500 200000 209375 214400 250000 268000 312500 335000 400000 418750 428800 500000 536000 625000 670000 800000 837500 1000000 1046875 1072000 1250000 1340000 1675000 2000000 2093750 2144000 2500000 2680000 3350000 4000000 4187500 5000000 5234375 5360000 6700000 8375000 10000000 10468750 10720000 13400000 16750000 20000000 20937500 26800000 33500000 41875000 53600000 67000000 83750000 134000000 167500000 268000000 335000000 670000000 1340000000