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3036656340 = 2232516870313
BaseRepresentation
bin1011010011111111…
…1011001011010100
321211122000010101100
42310333323023110
522204341000330
61221154030100
7135152103324
oct26477731324
97748003340
103036656340
111319127943
12708b78330
1339517a193
1420b429284
1512b8d5060
hexb4ffb2d4

3036656340 has 36 divisors (see below), whose sum is σ = 9211191444. Its totient is φ = 809774976.

The previous prime is 3036656333. The next prime is 3036656347. The reversal of 3036656340 is 436566303.

It is a happy number.

3036656340 is a `hidden beast` number, since 30 + 3 + 66 + 563 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3036656333) and next prime (3036656347).

It can be written as a sum of positive squares in 2 ways, for example, as 416649744 + 2620006596 = 20412^2 + 51186^2 .

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

It is a super-3 number, since 3×30366563403 (a number of 29 digits) contains 333 as substring.

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 = 3036656295 and 3036656304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3036656347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8434977 + ... + 8435336.

It is an arithmetic number, because the mean of its divisors is an integer number (255866429).

Almost surely, 23036656340 is an apocalyptic number.

3036656340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3036656340 is an abundant number, since it is smaller than the sum of its proper divisors (6174535104).

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

3036656340 is a wasteful number, since it uses less digits than its factorization.

3036656340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16870328 (or 16870323 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 3036656340 is about 55105.8648421382. The cubic root of 3036656340 is about 1448.0999830486.

The spelling of 3036656340 in words is "three billion, thirty-six million, six hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 16870313 33740626 50610939 67481252 84351565 101221878 151832817 168703130 202443756 253054695 303665634 337406260 506109390 607331268 759164085 1012218780 1518328170 3036656340