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10834432 = 2973023
BaseRepresentation
bin101001010101…
…001000000000
3202101110001021
4221111020000
510233200212
61024115224
7161043160
oct51251000
922343037
1010834432
116130084
123765b14
13232460b
1416205a0
15e40307
hexa55200

10834432 has 40 divisors (see below), whose sum is σ = 24748416. Its totient is φ = 4641792.

The previous prime is 10834391. The next prime is 10834433. The reversal of 10834432 is 23443801.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 10834397 and 10834406.

It is not an unprimeable number, because it can be changed into a prime (10834433) 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 3 ways as a sum of consecutive naturals, for example, 2073 + ... + 5095.

Almost surely, 210834432 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 10834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374208).

10834432 is an abundant number, since it is smaller than the sum of its proper divisors (13913984).

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

10834432 is an frugal number, since it uses more digits than its factorization.

10834432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 10834432 is about 3291.5698382383. The cubic root of 10834432 is about 221.2765454866.

The spelling of 10834432 in words is "ten million, eight hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3023 3584 6046 12092 21161 24184 42322 48368 84644 96736 169288 193472 338576 386944 677152 773888 1354304 1547776 2708608 5417216 10834432