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1684044240 = 243528124971
BaseRepresentation
bin110010001100000…
…0111100111010000
311100100211022101220
41210120013213100
511422103403430
6435034525040
756506065654
oct14430074720
94310738356
101684044240
117946653aa
123abb96780
1320ab80ba8
1411d930a64
159cca1110
hex646079d0

1684044240 has 80 divisors (see below), whose sum is σ = 5239325376. Its totient is φ = 447462400.

The previous prime is 1684044137. The next prime is 1684044281. The reversal of 1684044240 is 424404861.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54955 + ... + 79925.

Almost surely, 21684044240 is an apocalyptic number.

1684044240 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 1684044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619662688).

1684044240 is an abundant number, since it is smaller than the sum of its proper divisors (3555281136).

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

1684044240 is a wasteful number, since it uses less digits than its factorization.

1684044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25268 (or 25262 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 1684044240 is about 41037.1080852440. The cubic root of 1684044240 is about 1189.7375406866.

The spelling of 1684044240 in words is "one billion, six hundred eighty-four million, forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 281 562 843 1124 1405 1686 2248 2810 3372 4215 4496 5620 6744 8430 11240 13488 16860 22480 24971 33720 49942 67440 74913 99884 124855 149826 199768 249710 299652 374565 399536 499420 599304 749130 998840 1198608 1498260 1997680 2996520 5993040 7016851 14033702 21050553 28067404 35084255 42101106 56134808 70168510 84202212 105252765 112269616 140337020 168404424 210505530 280674040 336808848 421011060 561348080 842022120 1684044240