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68374240 = 2551153733
BaseRepresentation
bin1000001001101…
…00111011100000
311202122202211021
410010310323200
5120000433430
610441255224
71460112544
oct404647340
9152582737
1068374240
1135660640
121aa94514
131121c83c
14911ba24
15600907a
hex4134ee0

68374240 has 96 divisors (see below), whose sum is σ = 179788896. Its totient is φ = 24360960.

The previous prime is 68374231. The next prime is 68374249. The reversal of 68374240 is 4247386.

It is an interprime number because it is at equal distance from previous prime (68374231) and next prime (68374249).

It is a junction number, because it is equal to n+sod(n) for n = 68374196 and 68374205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68374249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 92914 + ... + 93646.

It is an arithmetic number, because the mean of its divisors is an integer number (1872801).

Almost surely, 268374240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89894448).

68374240 is an abundant number, since it is smaller than the sum of its proper divisors (111414656).

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

68374240 is a wasteful number, since it uses less digits than its factorization.

68374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 68374240 is about 8268.8717489147. The cubic root of 68374240 is about 408.9129243555.

The spelling of 68374240 in words is "sixty-eight million, three hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 80 88 106 110 160 176 212 220 265 352 424 440 530 583 733 848 880 1060 1166 1466 1696 1760 2120 2332 2915 2932 3665 4240 4664 5830 5864 7330 8063 8480 9328 11660 11728 14660 16126 18656 23320 23456 29320 32252 38849 40315 46640 58640 64504 77698 80630 93280 117280 129008 155396 161260 194245 258016 310792 322520 388490 427339 621584 645040 776980 854678 1243168 1290080 1553960 1709356 2136695 3107920 3418712 4273390 6215840 6837424 8546780 13674848 17093560 34187120 68374240