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896343012 = 2232192575099
BaseRepresentation
bin110101011011010…
…001101111100100
32022110121221110100
4311123101233210
53313430434022
6224535424100
731132534635
oct6533215744
92273557410
10896343012
1141aa64854
12210225030
13113915ca6
148708788c
1553a581ac
hex356d1be4

896343012 has 72 divisors (see below), whose sum is σ = 2394756000. Its totient is φ = 281899008.

The previous prime is 896342999. The next prime is 896343017. The reversal of 896343012 is 210343698.

896343012 is a `hidden beast` number, since 8 + 9 + 634 + 3 + 0 + 12 = 666.

It is a super-2 number, since 2×8963430122 = 1606861590322464288, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (896343017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173239 + ... + 178337.

It is an arithmetic number, because the mean of its divisors is an integer number (33260500).

Almost surely, 2896343012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896343012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197378000).

896343012 is an abundant number, since it is smaller than the sum of its proper divisors (1498412988).

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

896343012 is a wasteful number, since it uses less digits than its factorization.

896343012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5385 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 896343012 is about 29938.9881592548. The cubic root of 896343012 is about 964.1799119567.

The spelling of 896343012 in words is "eight hundred ninety-six million, three hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 257 342 514 684 771 1028 1542 2313 3084 4626 4883 5099 9252 9766 10198 14649 15297 19532 20396 29298 30594 43947 45891 58596 61188 87894 91782 96881 175788 183564 193762 290643 387524 581286 871929 1162572 1310443 1743858 2620886 3487716 3931329 5241772 7862658 11793987 15725316 23587974 24898417 47175948 49796834 74695251 99593668 149390502 224085753 298781004 448171506 896343012