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3035004240 = 2435123710223
BaseRepresentation
bin1011010011100110…
…0111110101010000
321211111220012010110
42310321213311100
522203430113430
61221054401320
7135132052602
oct26471476520
97744805113
103035004240
1113181a9674
12708500240
13394a1c1c8
1420b119172
1512b6aa7b0
hexb4e67d50

3035004240 has 80 divisors (see below), whose sum is σ = 9417040128. Its totient is φ = 808601088.

The previous prime is 3035004223. The next prime is 3035004241. The reversal of 3035004240 is 424005303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×30350042402 = 18422501473635955200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3035004241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291769 + ... + 301991.

Almost surely, 23035004240 is an apocalyptic number.

3035004240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3035004240 is an abundant number, since it is smaller than the sum of its proper divisors (6382035888).

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

3035004240 is a wasteful number, since it uses less digits than its factorization.

3035004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11476 (or 11470 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3035004240 is about 55090.8725652444. The cubic root of 3035004240 is about 1447.8373213455.

Adding to 3035004240 its reverse (424005303), we get a palindrome (3459009543).

The spelling of 3035004240 in words is "three billion, thirty-five million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1237 2474 3711 4948 6185 7422 9896 10223 12370 14844 18555 19792 20446 24740 29688 30669 37110 40892 49480 51115 59376 61338 74220 81784 98960 102230 122676 148440 153345 163568 204460 245352 296880 306690 408920 490704 613380 817840 1226760 2453520 12645851 25291702 37937553 50583404 63229255 75875106 101166808 126458510 151750212 189687765 202333616 252917020 303500424 379375530 505834040 607000848 758751060 1011668080 1517502120 3035004240