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1612838340 = 223258960213
BaseRepresentation
bin110000000100001…
…1111010111000100
311011101211200021100
41200020133113010
511300341311330
6424012420100
754652620411
oct14010372704
94141750240
101612838340
11758450353
12390177630
131c91ac519
141142b7108
15968d8060
hex6021f5c4

1612838340 has 36 divisors (see below), whose sum is σ = 4892276844. Its totient is φ = 430090176.

The previous prime is 1612838299. The next prime is 1612838341. The reversal of 1612838340 is 438382161.

1612838340 is a `hidden beast` number, since 1 + 612 + 8 + 3 + 8 + 34 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 876041604 + 736796736 = 29598^2 + 27144^2 .

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 junction number, because it is equal to n+sod(n) for n = 1612838295 and 1612838304.

It is not an unprimeable number, because it can be changed into a prime (1612838341) by changing a digit.

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, 4479927 + ... + 4480286.

It is an arithmetic number, because the mean of its divisors is an integer number (135896579).

Almost surely, 21612838340 is an apocalyptic number.

1612838340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1612838340 is an abundant number, since it is smaller than the sum of its proper divisors (3279438504).

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

1612838340 is a wasteful number, since it uses less digits than its factorization.

1612838340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8960228 (or 8960223 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1612838340 is about 40160.1586152246. The cubic root of 1612838340 is about 1172.7270597702.

The spelling of 1612838340 in words is "one billion, six hundred twelve million, eight hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8960213 17920426 26880639 35840852 44801065 53761278 80641917 89602130 107522556 134403195 161283834 179204260 268806390 322567668 403209585 537612780 806419170 1612838340