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645240362340 = 223572907241973
BaseRepresentation
bin10010110001110110101…
…00101001010101100100
32021200110220120120200210
421120323110221111210
541032423013043330
61212230324135420
764421441405100
oct11307324512544
92250426516623
10645240362340
112297103aa402
12a5075837570
1348acc5b8392
1423330800900
1511bb69398b0
hex963b529564

645240362340 has 144 divisors (see below), whose sum is σ = 2103965865792. Its totient is φ = 147320296704.

The previous prime is 645240362269. The next prime is 645240362353. The reversal of 645240362340 is 43263042546.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2545594 + ... + 2787566.

It is an arithmetic number, because the mean of its divisors is an integer number (14610874068).

Almost surely, 2645240362340 is an apocalyptic number.

645240362340 is a gapful number since it is divisible by the number (60) 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 645240362340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051982932896).

645240362340 is an abundant number, since it is smaller than the sum of its proper divisors (1458725503452).

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

645240362340 is a wasteful number, since it uses less digits than its factorization.

645240362340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242906 (or 242897 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 645240362340 in words is "six hundred forty-five billion, two hundred forty million, three hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 907 980 1470 1814 2721 2940 3628 4535 5442 6349 9070 10884 12698 13605 18140 19047 25396 27210 31745 38094 44443 54420 63490 76188 88886 95235 126980 133329 177772 190470 222215 241973 266658 380940 444430 483946 533316 666645 725919 888860 967892 1209865 1333290 1451838 1693811 2419730 2666580 2903676 3387622 3629595 4839460 5081433 6775244 7259190 8469055 10162866 11856677 14518380 16938110 20325732 23713354 25407165 33876220 35570031 47426708 50814330 59283385 71140062 101628660 118566770 142280124 177850155 219469511 237133540 355700310 438939022 658408533 711400620 877878044 1097347555 1316817066 1536286577 2194695110 2633634132 3072573154 3292042665 4389390220 4608859731 6145146308 6584085330 7681432885 9217719462 10754006039 13168170660 15362865770 18435438924 21508012078 23044298655 30725731540 32262018117 43016024156 46088597310 53770030195 64524036234 92177194620 107540060390 129048072468 161310090585 215080120780 322620181170 645240362340