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68424320 = 2751719331
BaseRepresentation
bin1000001010000…
…01001010000000
311202202022112002
410011001022000
5120004034240
610442323132
71460411546
oct405011200
9152668462
1068424320
1135695228
121aab94a8
1311239583
149131d96
156018d15
hex4141280

68424320 has 128 divisors (see below), whose sum is σ = 182865600. Its totient is φ = 24330240.

The previous prime is 68424319. The next prime is 68424329. The reversal of 68424320 is 2342486.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (68424329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206555 + ... + 206885.

Almost surely, 268424320 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 68424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91432800).

68424320 is an abundant number, since it is smaller than the sum of its proper divisors (114441280).

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

68424320 is a wasteful number, since it uses less digits than its factorization.

68424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 68424320 is about 8271.8994191177. The cubic root of 68424320 is about 409.0127346621.

The spelling of 68424320 in words is "sixty-eight million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 128 136 152 160 170 190 272 304 320 323 331 340 380 544 608 640 646 662 680 760 1088 1216 1292 1324 1360 1520 1615 1655 2176 2432 2584 2648 2720 3040 3230 3310 5168 5296 5440 5627 6080 6289 6460 6620 10336 10592 10880 11254 12160 12578 12920 13240 20672 21184 22508 25156 25840 26480 28135 31445 41344 42368 45016 50312 51680 52960 56270 62890 90032 100624 103360 105920 106913 112540 125780 180064 201248 206720 211840 213826 225080 251560 360128 402496 427652 450160 503120 534565 720256 804992 855304 900320 1006240 1069130 1710608 1800640 2012480 2138260 3421216 3601280 4024960 4276520 6842432 8553040 13684864 17106080 34212160 68424320