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68343840 = 25325311531
BaseRepresentation
bin1000001001011…
…01100000100000
311202121020010100
410010231200200
5114444000330
610440502400
71456625115
oct404554040
9152536110
1068343840
113563a814
121aa7aa00
131120ba56
14911090c
156000060
hex412d820

68343840 has 144 divisors (see below), whose sum is σ = 240903936. Its totient is φ = 17625600.

The previous prime is 68343839. The next prime is 68343853. The reversal of 68343840 is 4834386.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68343795 and 68343804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43875 + ... + 45405.

It is an arithmetic number, because the mean of its divisors is an integer number (1672944).

Almost surely, 268343840 is an apocalyptic number.

68343840 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 68343840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120451968).

68343840 is an abundant number, since it is smaller than the sum of its proper divisors (172560096).

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

68343840 is a wasteful number, since it uses less digits than its factorization.

68343840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 68343840 is about 8267.0333252020. The cubic root of 68343840 is about 408.8523128559.

The spelling of 68343840 in words is "sixty-eight million, three hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1531 1860 2232 2480 2790 2976 3062 3720 4464 4593 4960 5580 6124 7440 7655 8928 9186 11160 12248 13779 14880 15310 18372 22320 22965 24496 27558 30620 36744 44640 45930 47461 48992 55116 61240 68895 73488 91860 94922 110232 122480 137790 142383 146976 183720 189844 220464 237305 244960 275580 284766 367440 379688 427149 440928 474610 551160 569532 711915 734880 759376 854298 949220 1102320 1139064 1423830 1518752 1708596 1898440 2135745 2204640 2278128 2847660 3417192 3796880 4271490 4556256 5695320 6834384 7593760 8542980 11390640 13668768 17085960 22781280 34171920 68343840