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34230020 = 22511192431
BaseRepresentation
bin1000001010010…
…0111100000100
32101102001202112
42002210330010
532230330040
63221400152
7563643656
oct202447404
971361675
1034230020
111835a580
12b569058
137126466
1447906d6
153012365
hex20a4f04

34230020 has 72 divisors (see below), whose sum is σ = 82954368. Its totient is φ = 11764800.

The previous prime is 34230017. The next prime is 34230029. The reversal of 34230020 is 2003243.

It is a junction number, because it is equal to n+sod(n) for n = 34229977 and 34230004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34230029) 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, 79205 + ... + 79635.

It is an arithmetic number, because the mean of its divisors is an integer number (1152144).

Almost surely, 234230020 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 34230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41477184).

34230020 is an abundant number, since it is smaller than the sum of its proper divisors (48724348).

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

34230020 is a wasteful number, since it uses less digits than its factorization.

34230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 34230020 is about 5850.6426997382. The cubic root of 34230020 is about 324.6901030202.

Adding to 34230020 its reverse (2003243), we get a palindrome (36233263).

The spelling of 34230020 in words is "thirty-four million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 361 380 418 431 722 836 862 1045 1444 1724 1805 2090 2155 3610 3971 4180 4310 4741 7220 7942 8189 8620 9482 15884 16378 18964 19855 23705 32756 39710 40945 47410 79420 81890 90079 94820 155591 163780 180158 311182 360316 450395 622364 777955 900790 1555910 1711501 1801580 3111820 3423002 6846004 8557505 17115010 34230020