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34253817268 = 2211616722843
BaseRepresentation
bin11111111001101011…
…111100010110110100
310021102012121012122211
4133321223330112310
51030122434123033
623422550103204
72321561433316
oct377153742664
9107365535584
1034253817268
11135884289a0
12677b64ab04
1332cb764838
14192d38d7b6
15d572d92cd
hex7f9afc5b4

34253817268 has 72 divisors (see below), whose sum is σ = 67496242464. Its totient is φ = 15080788800.

The previous prime is 34253817233. The next prime is 34253817307. The reversal of 34253817268 is 86271835243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12047055 + ... + 12049897.

It is an arithmetic number, because the mean of its divisors is an integer number (937447812).

Almost surely, 234253817268 is an apocalyptic number.

It is an amenable number.

34253817268 is a deficient number, since it is larger than the sum of its proper divisors (33242425196).

34253817268 is a wasteful number, since it uses less digits than its factorization.

34253817268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 2984 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

The spelling of 34253817268 in words is "thirty-four billion, two hundred fifty-three million, eight hundred seventeen thousand, two hundred sixty-eight".

Divisors: 1 2 4 11 22 44 61 67 122 134 244 268 671 737 1342 1474 2684 2843 2948 4087 4489 5686 8174 8978 11372 16348 17956 31273 44957 49379 62546 89914 98758 125092 173423 179828 190481 197516 273829 346846 380962 547658 693692 761924 1095316 1907653 2095291 3012119 3815306 4190582 6024238 7630612 8381164 11619341 12048476 12762227 23238682 25524454 46477364 51048908 127812751 140384497 255625502 280768994 511251004 561537988 778495847 1556991694 3113983388 8563454317 17126908634 34253817268