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1678374880 = 255713196067
BaseRepresentation
bin110010000001001…
…1111011111100000
311022222011021111121
41210002133133200
511414130444010
6434313222024
756406644140
oct14402373740
94288137447
101678374880
11791442986
123aa101914
13209947540
1411cc96920
159c5313da
hex6409f7e0

1678374880 has 192 divisors, whose sum is σ = 5137896960. Its totient is φ = 503138304.

The previous prime is 1678374877. The next prime is 1678374881. The reversal of 1678374880 is 884738761.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678374881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273607 + ... + 279673.

It is an arithmetic number, because the mean of its divisors is an integer number (26759880).

Almost surely, 21678374880 is an apocalyptic number.

1678374880 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 1678374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568948480).

1678374880 is an abundant number, since it is smaller than the sum of its proper divisors (3459522080).

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

1678374880 is a wasteful number, since it uses less digits than its factorization.

1678374880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6121 (or 6113 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 52.

The square root of 1678374880 is about 40967.9738332273. The cubic root of 1678374880 is about 1188.4009499654.

The spelling of 1678374880 in words is "one billion, six hundred seventy-eight million, three hundred seventy-four thousand, eight hundred eighty".