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1678404312 = 2332131819907
BaseRepresentation
bin110010000001010…
…0110101011011000
311022222012202212200
41210002212223120
511414132414222
6434314010200
756410126014
oct14402465330
94288182780
101678404312
11791463002
123aa116960
13209957a60
1411cca3544
159c539eac
hex640a6ad8

1678404312 has 96 divisors (see below), whose sum is σ = 4922888880. Its totient is φ = 513527040.

The previous prime is 1678404293. The next prime is 1678404313. The reversal of 1678404312 is 2134048761.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678404313) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 164463 + ... + 174369.

Almost surely, 21678404312 is an apocalyptic number.

1678404312 is a gapful number since it is divisible by the number (12) 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 1678404312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461444440).

1678404312 is an abundant number, since it is smaller than the sum of its proper divisors (3244484568).

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

1678404312 is a wasteful number, since it uses less digits than its factorization.

1678404312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10113 (or 10106 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1678404312 is about 40968.3330390681. Note that the first 3 decimals coincide. The cubic root of 1678404312 is about 1188.4078965287.

The spelling of 1678404312 in words is "one billion, six hundred seventy-eight million, four hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 181 234 312 362 468 543 724 936 1086 1448 1629 2172 2353 3258 4344 4706 6516 7059 9412 9907 13032 14118 18824 19814 21177 28236 29721 39628 42354 56472 59442 79256 84708 89163 118884 128791 169416 178326 237768 257582 356652 386373 515164 713304 772746 1030328 1159119 1545492 1793167 2318238 3090984 3586334 4636476 5379501 7172668 9272952 10759002 14345336 16138503 21518004 23311171 32277006 43036008 46622342 64554012 69933513 93244684 129108024 139867026 186489368 209800539 279734052 419601078 559468104 839202156 1678404312