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68410440 = 2333579049
BaseRepresentation
bin1000001001111…
…01110001001000
311202201121111000
410010331301020
5120003113230
610442135000
71460323230
oct404756110
9152647430
1068410440
113568585a
121aab1460
1311233167
14912acc0
156014b60
hex413dc48

68410440 has 128 divisors (see below), whose sum is σ = 260640000. Its totient is φ = 15634944.

The previous prime is 68410421. The next prime is 68410451. The reversal of 68410440 is 4401486.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3036 + ... + 12084.

It is an arithmetic number, because the mean of its divisors is an integer number (2036250).

Almost surely, 268410440 is an apocalyptic number.

68410440 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 68410440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130320000).

68410440 is an abundant number, since it is smaller than the sum of its proper divisors (192229560).

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

68410440 is a wasteful number, since it uses less digits than its factorization.

68410440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9076 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 68410440 is about 8271.0603915097. The cubic root of 68410440 is about 408.9850764616.

The spelling of 68410440 in words is "sixty-eight million, four hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 9049 18098 27147 36196 45245 54294 63343 72392 81441 90490 108588 126686 135735 162882 180980 190029 217176 244323 253372 271470 316715 325764 361960 380058 407205 488646 506744 542940 570087 633430 651528 760116 814410 950145 977292 1085880 1140174 1221615 1266860 1520232 1628820 1710261 1900290 1954584 2280348 2443230 2533720 2850435 3257640 3420522 3800580 4560696 4886460 5700870 6841044 7601160 8551305 9772920 11401740 13682088 17102610 22803480 34205220 68410440