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3134380768 = 25437132083
BaseRepresentation
bin1011101011010010…
…1101101011100000
322002102220001002121
42322310231223200
522404400141033
61235004354024
7140446540231
oct27264555340
98072801077
103134380768
111369304732
12735845914
133ac4a4c9c
1421a3c7088
1513528a62d
hexbad2dae0

3134380768 has 48 divisors (see below), whose sum is σ = 6403453056. Its totient is φ = 1509137280.

The previous prime is 3134380759. The next prime is 3134380787. The reversal of 3134380768 is 8670834313.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 81655 + ... + 113737.

It is an arithmetic number, because the mean of its divisors is an integer number (133405272).

Almost surely, 23134380768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134380768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201726528).

3134380768 is an abundant number, since it is smaller than the sum of its proper divisors (3269072288).

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

3134380768 is a wasteful number, since it uses less digits than its factorization.

3134380768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32207 (or 32199 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 3134380768 is about 55985.5407047213. The cubic root of 3134380768 is about 1463.4703161092.

The spelling of 3134380768 in words is "three billion, one hundred thirty-four million, three hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 71 86 142 172 284 344 568 688 1136 1376 2272 3053 6106 12212 24424 32083 48848 64166 97696 128332 256664 513328 1026656 1379569 2277893 2759138 4555786 5518276 9111572 11036552 18223144 22073104 36446288 44146208 72892576 97949399 195898798 391797596 783595192 1567190384 3134380768