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3368140040 = 235292903569
BaseRepresentation
bin1100100011000001…
…1011110100001000
322200201202020112102
43020300123310020
523344220440130
61314114532532
7146315501156
oct31060336410
98621666472
103368140040
111479255511
1279bb97148
13418a4c395
1423d4763d6
1514aa62645
hexc8c1bd08

3368140040 has 32 divisors (see below), whose sum is σ = 7839639000. Its totient is φ = 1300798464.

The previous prime is 3368139989. The next prime is 3368140043. The reversal of 3368140040 is 400418633.

It can be written as a sum of positive squares in 4 ways, for example, as 3235106884 + 133033156 = 56878^2 + 11534^2 .

It is a super-2 number, since 2×33681400402 = 22688734658102403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 3368139985 and 3368140012.

It is not an unprimeable number, because it can be changed into a prime (3368140043) 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 7 ways as a sum of consecutive naturals, for example, 1450625 + ... + 1452944.

Almost surely, 23368140040 is an apocalyptic number.

It is an amenable number.

3368140040 is an abundant number, since it is smaller than the sum of its proper divisors (4471498960).

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

3368140040 is a wasteful number, since it uses less digits than its factorization.

3368140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903609 (or 2903605 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 3368140040 is about 58035.6790259234. The cubic root of 3368140040 is about 1498.9830202870.

Adding to 3368140040 its reverse (400418633), we get a palindrome (3768558673).

The spelling of 3368140040 in words is "three billion, three hundred sixty-eight million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2903569 5807138 11614276 14517845 23228552 29035690 58071380 84203501 116142760 168407002 336814004 421017505 673628008 842035010 1684070020 3368140040