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1348114464 = 25324680953
BaseRepresentation
bin101000001011010…
…1001100000100000
310110221201022101100
41100112221200200
510230104130324
6341434434400
745256532604
oct12026514040
93427638340
101348114464
11631a80394
12317592a00
131863b3088
14cb087504
157d5464c9
hex505a9820

1348114464 has 36 divisors (see below), whose sum is σ = 3833701326. Its totient is φ = 449371392.

The previous prime is 1348114451. The next prime is 1348114477. The reversal of 1348114464 is 4644118431.

It is a happy number.

1348114464 is a `hidden beast` number, since 134 + 81 + 1 + 446 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1348114451) and next prime (1348114477).

It can be written as a sum of positive squares in only one way, i.e., 1004382864 + 343731600 = 31692^2 + 18540^2 .

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 (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2340189 + ... + 2340764.

Almost surely, 21348114464 is an apocalyptic number.

It is an amenable number.

1348114464 is an abundant number, since it is smaller than the sum of its proper divisors (2485586862).

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

1348114464 is a wasteful number, since it uses less digits than its factorization.

1348114464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680969 (or 4680958 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 1348114464 is about 36716.6782811300. The cubic root of 1348114464 is about 1104.6946636282.

The spelling of 1348114464 in words is "one billion, three hundred forty-eight million, one hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4680953 9361906 14042859 18723812 28085718 37447624 42128577 56171436 74895248 84257154 112342872 149790496 168514308 224685744 337028616 449371488 674057232 1348114464