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1684173840 = 243529241979
BaseRepresentation
bin110010001100010…
…0111010000010000
311100101001220011220
41210120213100100
511422122030330
6435041405040
756510145546
oct14430472020
94311056156
101684173840
11794743808
123b0039780
1320abc7b8b
1411d965d96
159ccc9710
hex64627410

1684173840 has 80 divisors (see below), whose sum is σ = 5400993600. Its totient is φ = 433624576.

The previous prime is 1684173839. The next prime is 1684173853. The reversal of 1684173840 is 483714861.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1684173792 and 1684173801.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 114030 + ... + 127949.

It is an arithmetic number, because the mean of its divisors is an integer number (67512420).

Almost surely, 21684173840 is an apocalyptic number.

1684173840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1684173840 is an abundant number, since it is smaller than the sum of its proper divisors (3716819760).

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

1684173840 is a wasteful number, since it uses less digits than its factorization.

1684173840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242024 (or 242018 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1684173840 is about 41038.6871135030. The cubic root of 1684173840 is about 1189.7680596850.

The spelling of 1684173840 in words is "one billion, six hundred eighty-four million, one hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 241979 483958 725937 967916 1209895 1451874 1935832 2419790 2903748 3629685 3871664 4839580 5807496 7017391 7259370 9679160 11614992 14034782 14518740 19358320 21052173 28069564 29037480 35086955 42104346 56139128 58074960 70173910 84208692 105260865 112278256 140347820 168417384 210521730 280695640 336834768 421043460 561391280 842086920 1684173840