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3340331424 = 253211598373
BaseRepresentation
bin1100011100011001…
…0110100110100000
322121210102102021200
43013012112212200
523320111101144
61311242521200
7145530230403
oct30706264640
98553372250
103340331424
111464591491
12792806200
13413063991
142398b7d3a
151483bcc69
hexc71969a0

3340331424 has 36 divisors (see below), whose sum is σ = 9499068306. Its totient is φ = 1113443712.

The previous prime is 3340331419. The next prime is 3340331443. The reversal of 3340331424 is 4241330433.

3340331424 is a `hidden beast` number, since 3 + 340 + 3 + 314 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2091415824 + 1248915600 = 45732^2 + 35340^2 .

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

It is a super-5 number, since 5×33403314245 (a number of 49 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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, 5798899 + ... + 5799474.

Almost surely, 23340331424 is an apocalyptic number.

It is an amenable number.

3340331424 is an abundant number, since it is smaller than the sum of its proper divisors (6158736882).

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

3340331424 is a wasteful number, since it uses less digits than its factorization.

3340331424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11598389 (or 11598378 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3340331424 is about 57795.6003861886. The cubic root of 3340331424 is about 1494.8462273653.

Adding to 3340331424 its reverse (4241330433), we get a palindrome (7581661857).

Subtracting 3340331424 from its reverse (4241330433), we obtain a palindrome (900999009).

The spelling of 3340331424 in words is "three billion, three hundred forty million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11598373 23196746 34795119 46393492 69590238 92786984 104385357 139180476 185573968 208770714 278360952 371147936 417541428 556721904 835082856 1113443808 1670165712 3340331424