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10034220 = 2235723413
BaseRepresentation
bin100110010001…
…110000101100
3200212210100210
4212101300230
510032043340
6555022420
7151201200
oct46216054
920783323
1010034220
115733949
12343aa10
132104311
141492b00
15d33180
hex991c2c

10034220 has 72 divisors (see below), whose sum is σ = 32692464. Its totient is φ = 2292864.

The previous prime is 10034209. The next prime is 10034221. The reversal of 10034220 is 2243001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10034196 and 10034205.

It is not an unprimeable number, because it can be changed into a prime (10034221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1234 + ... + 4646.

It is an arithmetic number, because the mean of its divisors is an integer number (454062).

Almost surely, 210034220 is an apocalyptic number.

10034220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346232).

10034220 is an abundant number, since it is smaller than the sum of its proper divisors (22658244).

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

10034220 is a wasteful number, since it uses less digits than its factorization.

10034220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10034220 is about 3167.6836963308. The cubic root of 10034220 is about 215.6889384006.

Adding to 10034220 its reverse (2243001), we get a palindrome (12277221).

The spelling of 10034220 in words is "ten million, thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3413 6826 10239 13652 17065 20478 23891 34130 40956 47782 51195 68260 71673 95564 102390 119455 143346 167237 204780 238910 286692 334474 358365 477820 501711 668948 716730 836185 1003422 1433460 1672370 2006844 2508555 3344740 5017110 10034220