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3411636648 = 233783244667
BaseRepresentation
bin1100101101011001…
…0111000110101000
322210202121002122220
43023112113012220
523441334333043
61322311114040
7150354301350
oct31326270650
98722532586
103411636648
1114a0864122
127b2672920
13424a6b614
14245159b60
1514e7a5483
hexcb5971a8

3411636648 has 64 divisors (see below), whose sum is σ = 9865013760. Its totient is φ = 963005376.

The previous prime is 3411636593. The next prime is 3411636779. The reversal of 3411636648 is 8466361143.

3411636648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 108390 + ... + 136277.

It is an arithmetic number, because the mean of its divisors is an integer number (154140840).

Almost surely, 23411636648 is an apocalyptic number.

It is an amenable number.

3411636648 is an abundant number, since it is smaller than the sum of its proper divisors (6453377112).

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

3411636648 is a wasteful number, since it uses less digits than its factorization.

3411636648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244766 (or 244762 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 3411636648 is about 58409.2171493507. The cubic root of 3411636648 is about 1505.4081295453.

The spelling of 3411636648 in words is "three billion, four hundred eleven million, six hundred thirty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 996 1162 1743 1992 2324 3486 4648 6972 13944 244667 489334 734001 978668 1468002 1712669 1957336 2936004 3425338 5138007 5872008 6850676 10276014 13701352 20307361 20552028 40614722 41104056 60922083 81229444 121844166 142151527 162458888 243688332 284303054 426454581 487376664 568606108 852909162 1137212216 1705818324 3411636648