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2943040256 = 28132338449
BaseRepresentation
bin1010111101101011…
…0011101100000000
321121002211221020222
42233122303230000
522011404242011
61204011322212
7132634300202
oct25732635400
97532757228
102943040256
1112802a6782
126a1750368
1337b960350
141dcc1a772
15123591ddb
hexaf6b3b00

2943040256 has 72 divisors (see below), whose sum is σ = 6601711200. Its totient is φ = 1299234816.

The previous prime is 2943040249. The next prime is 2943040259. The reversal of 2943040256 is 6520403492.

2943040256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29430402562 = 17322971896873091072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2943040259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57320 + ... + 95768.

Almost surely, 22943040256 is an apocalyptic number.

2943040256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2943040256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300855600).

2943040256 is an abundant number, since it is smaller than the sum of its proper divisors (3658670944).

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

2943040256 is a wasteful number, since it uses less digits than its factorization.

2943040256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38501 (or 38487 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 2943040256 is about 54249.7949857877. The cubic root of 2943040256 is about 1433.0633883318.

The spelling of 2943040256 in words is "two billion, nine hundred forty-three million, forty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 598 736 832 1196 1472 1664 2392 2944 3328 4784 5888 9568 19136 38272 38449 76544 76898 153796 307592 499837 615184 884327 999674 1230368 1768654 1999348 2460736 3537308 3998696 4921472 7074616 7997392 9842944 11496251 14149232 15994784 22992502 28298464 31989568 45985004 56596928 63979136 91970008 113193856 127958272 183940016 226387712 367880032 735760064 1471520128 2943040256