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740464047 = 322322931173
BaseRepresentation
bin101100001000101…
…001010110101111
31220121022110201100
4230020221112233
53004024322142
6201250414143
724230561211
oct5410512657
91817273640
10740464047
1134aa77664
12187b91353
13ba53920b
14704ac5b1
1545016b4c
hex2c2295af

740464047 has 72 divisors (see below), whose sum is σ = 1200850560. Its totient is φ = 438641280.

The previous prime is 740464003. The next prime is 740464051.

740464047 is a `hidden beast` number, since 7 + 4 + 0 + 4 + 640 + 4 + 7 = 666.

740464047 is nontrivially palindromic in base 10.

740464047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 740464047 - 28 = 740463791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740464847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4280053 + ... + 4280225.

It is an arithmetic number, because the mean of its divisors is an integer number (16678480).

Almost surely, 2740464047 is an apocalyptic number.

740464047 is a deficient number, since it is larger than the sum of its proper divisors (460386513).

740464047 is a wasteful number, since it uses less digits than its factorization.

740464047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 740464047 is about 27211.4690342142. The cubic root of 740464047 is about 904.6931988133.

The spelling of 740464047 in words is "seven hundred forty million, four hundred sixty-four thousand, forty-seven".

Divisors: 1 3 9 23 29 31 69 87 93 173 207 261 279 519 529 667 713 899 1557 1587 2001 2139 2697 3979 4761 5017 5363 6003 6417 8091 11937 15051 15341 16089 16399 20677 35811 45153 46023 48267 49197 62031 91517 115391 123349 138069 147591 155527 186093 274551 346173 370047 466581 475571 823653 1038519 1110141 1399743 1426713 2653993 2837027 3577121 4280139 7961979 8511081 10731363 23885937 25533243 32194089 82273783 246821349 740464047