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1348678260 = 223257492657
BaseRepresentation
bin101000001100011…
…0011001001110100
310110222202221202200
41100120303021310
510230230201020
6341454504500
745264401406
oct12030631164
93428687680
101348678260
11632325a36
12317805130
1318654c897
14cb192b76
157d608590
hex50633274

1348678260 has 36 divisors (see below), whose sum is σ = 4090991268. Its totient is φ = 359647488.

The previous prime is 1348678249. The next prime is 1348678271. The reversal of 1348678260 is 628768431.

It is an interprime number because it is at equal distance from previous prime (1348678249) and next prime (1348678271).

It can be written as a sum of positive squares in 2 ways, for example, as 183548304 + 1165129956 = 13548^2 + 34134^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3746149 + ... + 3746508.

Almost surely, 21348678260 is an apocalyptic number.

1348678260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348678260 is an abundant number, since it is smaller than the sum of its proper divisors (2742313008).

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

1348678260 is a wasteful number, since it uses less digits than its factorization.

1348678260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7492672 (or 7492667 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1348678260 is about 36724.3551338890. The cubic root of 1348678260 is about 1104.8486405705.

The spelling of 1348678260 in words is "one billion, three hundred forty-eight million, six hundred seventy-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7492657 14985314 22477971 29970628 37463285 44955942 67433913 74926570 89911884 112389855 134867826 149853140 224779710 269735652 337169565 449559420 674339130 1348678260