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1346403825 = 3252131727077
BaseRepresentation
bin101000001000000…
…0111110111110001
310110211111101211100
41100100013313301
510224134410300
6341334035013
745236146404
oct12020076761
93424441740
101346403825
11631012138
12316aa8a69
13185c34570
14cab5dd3b
157d309700
hex50407df1

1346403825 has 72 divisors (see below), whose sum is σ = 2749933368. Its totient is φ = 623831040.

The previous prime is 1346403809. The next prime is 1346403827. The reversal of 1346403825 is 5283046431.

1346403825 is a `hidden beast` number, since 1 + 3 + 4 + 640 + 3 + 8 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 201867264 + 1144536561 = 14208^2 + 33831^2 .

It is not a de Polignac number, because 1346403825 - 24 = 1346403809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1346403825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346403827) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36187 + ... + 63263.

It is an arithmetic number, because the mean of its divisors is an integer number (38193519).

Almost surely, 21346403825 is an apocalyptic number.

1346403825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1346403825 is an abundant number, since it is smaller than the sum of its proper divisors (1403529543).

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

1346403825 is a wasteful number, since it uses less digits than its factorization.

1346403825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27123 (or 27115 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1346403825 is about 36693.3757645709. The cubic root of 1346403825 is about 1104.2272123123.

The spelling of 1346403825 in words is "one billion, three hundred forty-six million, four hundred three thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 195 221 225 255 325 425 585 663 765 975 1105 1275 1989 2925 3315 3825 5525 9945 16575 27077 49725 81231 135385 243693 352001 406155 460309 676925 1056003 1218465 1380927 1760005 2030775 2301545 3168009 4142781 5280015 5984017 6092325 6904635 8800025 11507725 15840045 17952051 20713905 26400075 29920085 34523175 53856153 79200225 89760255 103569525 149600425 269280765 448801275 1346403825