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34247064348 = 223271271070087
BaseRepresentation
bin11111111001010010…
…001011101100011100
310021101201220010101200
4133321102023230130
51030114222024343
623422145235500
72321450146440
oct377122135434
9107351803350
1034247064348
1113584636372
126779332b90
1332ca23bc23
14192c512820
15d569034d3
hex7f948bb1c

34247064348 has 72 divisors (see below), whose sum is σ = 99715080192. Its totient is φ = 9707820192.

The previous prime is 34247064347. The next prime is 34247064353. The reversal of 34247064348 is 84346074243.

34247064348 is a `hidden beast` number, since 3 + 4 + 247 + 0 + 64 + 348 = 666.

It is a super-2 number, since 2×342470643482 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34247064347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503040 + ... + 567047.

Almost surely, 234247064348 is an apocalyptic number.

It is an amenable number.

34247064348 is an abundant number, since it is smaller than the sum of its proper divisors (65468015844).

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

34247064348 is a wasteful number, since it uses less digits than its factorization.

34247064348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070231 (or 1070226 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 34247064348 in words is "thirty-four billion, two hundred forty-seven million, sixty-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1143 1524 1778 2286 2667 3556 4572 5334 8001 10668 16002 32004 1070087 2140174 3210261 4280348 6420522 7490609 9630783 12841044 14981218 19261566 22471827 29962436 38523132 44943654 67415481 89887308 134830962 135901049 269661924 271802098 407703147 543604196 815406294 951307343 1223109441 1630812588 1902614686 2446218882 2853922029 3805229372 4892437764 5707844058 8561766087 11415688116 17123532174 34247064348