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68378040 = 2333563313
BaseRepresentation
bin1000001001101…
…01110110111000
311202122222001000
410010311312320
5120001044130
610441325000
71460126613
oct404656670
9152588030
1068378040
1135663485
121aa96760
13112214a3
14911d17a
15600a260
hex4135db8

68378040 has 64 divisors (see below), whose sum is σ = 227930400. Its totient is φ = 18233856.

The previous prime is 68378021. The next prime is 68378047. The reversal of 68378040 is 4087386.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 68377986 and 68378004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68378047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30577 + ... + 32736.

Almost surely, 268378040 is an apocalyptic number.

68378040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68378040 is an abundant number, since it is smaller than the sum of its proper divisors (159552360).

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

68378040 is a wasteful number, since it uses less digits than its factorization.

68378040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63333 (or 63323 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 68378040 is about 8269.1015231402. The cubic root of 68378040 is about 408.9204995297.

The spelling of 68378040 in words is "sixty-eight million, three hundred seventy-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 63313 126626 189939 253252 316565 379878 506504 569817 633130 759756 949695 1139634 1266260 1519512 1709451 1899390 2279268 2532520 2849085 3418902 3798780 4558536 5698170 6837804 7597560 8547255 11396340 13675608 17094510 22792680 34189020 68378040