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1676706408 = 2332132417433
BaseRepresentation
bin110001111110000…
…1000001001101000
311022212000111210100
41203330020021220
511413214101113
6434213345400
756356524606
oct14374101150
94285014710
101676706408
11790503383
123a9638260
132094b1c90
1411c980876
159c301d73
hex63f08268

1676706408 has 96 divisors (see below), whose sum is σ = 4911346440. Its totient is φ = 513699840.

The previous prime is 1676706407. The next prime is 1676706419. The reversal of 1676706408 is 8046076761.

It can be written as a sum of positive squares in 4 ways, for example, as 938932164 + 737774244 = 30642^2 + 27162^2 .

It is a super-2 number, since 2×16767064082 = 5622688757256524928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1676706403) 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, 221860 + ... + 229292.

Almost surely, 21676706408 is an apocalyptic number.

1676706408 is a gapful number since it is divisible by the number (18) 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 1676706408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455673220).

1676706408 is an abundant number, since it is smaller than the sum of its proper divisors (3234640032).

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

1676706408 is a wasteful number, since it uses less digits than its factorization.

1676706408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699 (or 7692 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1676706408 is about 40947.6056442865. The cubic root of 1676706408 is about 1188.0070230514.

The spelling of 1676706408 in words is "one billion, six hundred seventy-six million, seven hundred six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 241 312 468 482 723 936 964 1446 1928 2169 2892 3133 4338 5784 6266 7433 8676 9399 12532 14866 17352 18798 22299 25064 28197 29732 37596 44598 56394 59464 66897 75192 89196 96629 112788 133794 178392 193258 225576 267588 289887 386516 535176 579774 773032 869661 1159548 1739322 1791353 2319096 3478644 3582706 5374059 6957288 7165412 10748118 14330824 16122177 21496236 23287589 32244354 42992472 46575178 64488708 69862767 93150356 128977416 139725534 186300712 209588301 279451068 419176602 558902136 838353204 1676706408