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678286464 = 2733674813
BaseRepresentation
bin101000011011011…
…101010010000000
31202021022112002220
4220123131102000
52342120131324
6151150011040
722544224362
oct5033352200
91667275086
10678286464
11318969729
1216b1a6a80
13aa6a904b
1466124d32
153e833b79
hex286dd480

678286464 has 64 divisors (see below), whose sum is σ = 1806983040. Its totient is φ = 225432576.

The previous prime is 678286457. The next prime is 678286471. The reversal of 678286464 is 464682876.

It is an interprime number because it is at equal distance from previous prime (678286457) and next prime (678286471).

It is a tau number, because it is divible by the number of its divisors (64).

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, 138522 + ... + 143334.

It is an arithmetic number, because the mean of its divisors is an integer number (28234110).

Almost surely, 2678286464 is an apocalyptic number.

678286464 is a gapful number since it is divisible by the number (64) 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 678286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903491520).

678286464 is an abundant number, since it is smaller than the sum of its proper divisors (1128696576).

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

678286464 is a wasteful number, since it uses less digits than its factorization.

678286464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5185 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The square root of 678286464 is about 26043.9333434871. The cubic root of 678286464 is about 878.6266733304.

The spelling of 678286464 in words is "six hundred seventy-eight million, two hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 367 384 734 1101 1468 2202 2936 4404 4813 5872 8808 9626 11744 14439 17616 19252 23488 28878 35232 38504 46976 57756 70464 77008 115512 140928 154016 231024 308032 462048 616064 924096 1766371 1848192 3532742 5299113 7065484 10598226 14130968 21196452 28261936 42392904 56523872 84785808 113047744 169571616 226095488 339143232 678286464