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855417344 = 2914911213
BaseRepresentation
bin110010111111001…
…010001000000000
32012121121200222212
4302333022020000
53222441323334
6220514321252
730124633055
oct6277121000
92177550885
10855417344
113a9951791
121ba589228
131082b7012
148187302c
1550171ece
hex32fca200

855417344 has 40 divisors (see below), whose sum is σ = 1720788300. Its totient is φ = 424800256.

The previous prime is 855417331. The next prime is 855417347. The reversal of 855417344 is 443714558.

It can be written as a sum of positive squares in 2 ways, for example, as 651270400 + 204146944 = 25520^2 + 14288^2 .

It is not an unprimeable number, because it can be changed into a prime (855417347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70682 + ... + 81894.

Almost surely, 2855417344 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 855417344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860394150).

855417344 is an abundant number, since it is smaller than the sum of its proper divisors (865370956).

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

855417344 is a wasteful number, since it uses less digits than its factorization.

855417344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11380 (or 11364 counting only the distinct ones).

The product of its digits is 268800, while the sum is 41.

The square root of 855417344 is about 29247.5185956006. The cubic root of 855417344 is about 949.2763996773.

The spelling of 855417344 in words is "eight hundred fifty-five million, four hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 512 596 1192 2384 4768 9536 11213 19072 22426 38144 44852 76288 89704 179408 358816 717632 1435264 1670737 2870528 3341474 5741056 6682948 13365896 26731792 53463584 106927168 213854336 427708672 855417344