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1678348720 = 24520979359
BaseRepresentation
bin110010000001001…
…1001000110110000
311022222002221121201
41210002121012300
511414124124340
6434312500544
756406504646
oct14402310660
94288087551
101678348720
11791425264
123aa0aa754
13209938669
1411cc8b196
159c52879a
hex640991b0

1678348720 has 20 divisors (see below), whose sum is σ = 3902160960. Its totient is φ = 671339456.

The previous prime is 1678348703. The next prime is 1678348723. The reversal of 1678348720 is 278438761.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (1678348723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10489600 + ... + 10489759.

It is an arithmetic number, because the mean of its divisors is an integer number (195108048).

Almost surely, 21678348720 is an apocalyptic number.

1678348720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1678348720 is an abundant number, since it is smaller than the sum of its proper divisors (2223812240).

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

1678348720 is a wasteful number, since it uses less digits than its factorization.

1678348720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20979372 (or 20979366 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 1678348720 is about 40967.6545581999. The cubic root of 1678348720 is about 1188.3947755938.

The spelling of 1678348720 in words is "one billion, six hundred seventy-eight million, three hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 20979359 41958718 83917436 104896795 167834872 209793590 335669744 419587180 839174360 1678348720