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868374 = 233131237
BaseRepresentation
bin11010100000000010110
31122010012000
43110000112
5210241444
630340130
710244463
oct3240026
91563160
10868374
11543471
1235a646
13245340
1418866a
15122469
hexd4016

868374 has 32 divisors (see below), whose sum is σ = 2079840. Its totient is φ = 266976.

The previous prime is 868369. The next prime is 868379. The reversal of 868374 is 473868.

It is an interprime number because it is at equal distance from previous prime (868369) and next prime (868379).

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 868374.

It is not an unprimeable number, because it can be changed into a prime (868379) by changing a digit.

868374 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84 + ... + 1320.

It is an arithmetic number, because the mean of its divisors is an integer number (64995).

2868374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039920).

868374 is an abundant number, since it is smaller than the sum of its proper divisors (1211466).

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

868374 is a wasteful number, since it uses less digits than its factorization.

868374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1255 counting only the distinct ones).

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

The square root of 868374 is about 931.8658701766. The cubic root of 868374 is about 95.4045170125.

The spelling of 868374 in words is "eight hundred sixty-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1237 2474 3711 7422 11133 16081 22266 32162 33399 48243 66798 96486 144729 289458 434187 868374