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2942710008 = 233773239947
BaseRepresentation
bin1010111101100110…
…0011000011111000
321121002020011020120
42233121203003320
522011313210013
61204000253240
7132631423320
oct25731430370
97532204216
102942710008
1112800a0647
126a1611220
1337b875c34
141dcb72280
15123529123
hexaf6630f8

2942710008 has 64 divisors (see below), whose sum is σ = 8522952960. Its totient is φ = 829253376.

The previous prime is 2942710003. The next prime is 2942710009. The reversal of 2942710008 is 8000172492.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2942710003) 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, 107710 + ... + 132237.

It is an arithmetic number, because the mean of its divisors is an integer number (133171140).

Almost surely, 22942710008 is an apocalyptic number.

2942710008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2942710008 is an abundant number, since it is smaller than the sum of its proper divisors (5580242952).

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

2942710008 is a wasteful number, since it uses less digits than its factorization.

2942710008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240036 (or 240032 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2942710008 is about 54246.7511285238. The cubic root of 2942710008 is about 1433.0097834447.

The spelling of 2942710008 in words is "two billion, nine hundred forty-two million, seven hundred ten thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 3066 4088 6132 12264 239947 479894 719841 959788 1439682 1679629 1919576 2879364 3359258 5038887 5758728 6718516 10077774 13437032 17516131 20155548 35032262 40311096 52548393 70064524 105096786 122612917 140129048 210193572 245225834 367838751 420387144 490451668 735677502 980903336 1471355004 2942710008