Search a number
-
+
8806434 = 237131272
BaseRepresentation
bin100001100110…
…000000100010
3121120102011020
4201212000202
54223301214
6512430310
7134565510
oct41460042
917512136
108806434
114a7544a
122b48396
131a94510
1412534b0
15b8e4a9
hex866022

8806434 has 48 divisors (see below), whose sum is σ = 21849408. Its totient is φ = 2304288.

The previous prime is 8806417. The next prime is 8806439. The reversal of 8806434 is 4346088.

It is a junction number, because it is equal to n+sod(n) for n = 8806395 and 8806404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8806439) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 69279 + ... + 69405.

It is an arithmetic number, because the mean of its divisors is an integer number (455196).

Almost surely, 28806434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8806434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10924704).

8806434 is an abundant number, since it is smaller than the sum of its proper divisors (13042974).

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

8806434 is a wasteful number, since it uses less digits than its factorization.

8806434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 8806434 is about 2967.5636471692. The cubic root of 8806434 is about 206.5063266690.

The spelling of 8806434 in words is "eight million, eight hundred six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 127 182 254 273 381 546 762 889 1651 1778 2667 3302 4953 5334 9906 11557 16129 23114 32258 34671 48387 69342 96774 112903 209677 225806 338709 419354 629031 677418 1258062 1467739 2935478 4403217 8806434