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1678696320 = 27357295973
BaseRepresentation
bin110010000001110…
…1101111110000000
311022222202121102210
41210003231332000
511414221240240
6434324142120
756412453240
oct14403557600
94288677383
101678696320
11791642434
123aa237940
13209a2a942
1411cd3bb20
159c596780
hex640edf80

1678696320 has 512 divisors, whose sum is σ = 6521472000. Its totient is φ = 359202816.

The previous prime is 1678696319. The next prime is 1678696339. The reversal of 1678696320 is 236968761.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1678696320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22995804 + ... + 22995876.

It is an arithmetic number, because the mean of its divisors is an integer number (12737250).

Almost surely, 21678696320 is an apocalyptic number.

1678696320 is a gapful number since it is divisible by the number (10) 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 1678696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260736000).

1678696320 is an abundant number, since it is smaller than the sum of its proper divisors (4842775680).

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

1678696320 is a wasteful number, since it uses less digits than its factorization.

1678696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 1678696320 is about 40971.8967098181. The cubic root of 1678696320 is about 1188.4768120829.

The spelling of 1678696320 in words is "one billion, six hundred seventy-eight million, six hundred ninety-six thousand, three hundred twenty".