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68309024 = 257467653
BaseRepresentation
bin1000001001001…
…01000000100000
311202112110100212
410010211000200
5114441342044
610440033252
71456421450
oct404450040
9152473325
1068309024
1135616643
121aa62828
13111c8c54
149101d60
155ee4a9e
hex4125020

68309024 has 48 divisors (see below), whose sum is σ = 154260288. Its totient is φ = 29167872.

The previous prime is 68308969. The next prime is 68309041. The reversal of 68309024 is 42090386.

It is a super-2 number, since 2×683090242 = 9332245519665152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104282 + ... + 104934.

It is an arithmetic number, because the mean of its divisors is an integer number (3213756).

Almost surely, 268309024 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 68309024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77130144).

68309024 is an abundant number, since it is smaller than the sum of its proper divisors (85951264).

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

68309024 is a wasteful number, since it uses less digits than its factorization.

68309024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 68309024 is about 8264.9273439033. The cubic root of 68309024 is about 408.7828746546.

The spelling of 68309024 in words is "sixty-eight million, three hundred nine thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 467 653 934 1306 1868 2612 3269 3736 4571 5224 6538 7472 9142 10448 13076 14944 18284 20896 26152 36568 52304 73136 104608 146272 304951 609902 1219804 2134657 2439608 4269314 4879216 8538628 9758432 17077256 34154512 68309024