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34202020 = 22529109541
BaseRepresentation
bin1000001001111…
…0000110100100
32101100122100111
42002132012210
532223431040
63221022404
7563466226
oct202360644
971318314
1034202020
1118340536
12b554a04
1371167a8
144784416
153008dea
hex209e1a4

34202020 has 48 divisors (see below), whose sum is σ = 75121200. Its totient is φ = 13063680.

The previous prime is 34202009. The next prime is 34202027. The reversal of 34202020 is 2020243.

It can be written as a sum of positive squares in 8 ways, for example, as 2916 + 34199104 = 54^2 + 5848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34202027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62950 + ... + 63490.

It is an arithmetic number, because the mean of its divisors is an integer number (1565025).

Almost surely, 234202020 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 34202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37560600).

34202020 is an abundant number, since it is smaller than the sum of its proper divisors (40919180).

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

34202020 is a wasteful number, since it uses less digits than its factorization.

34202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 34202020 is about 5848.2493106912. The cubic root of 34202020 is about 324.6015471960.

Adding to 34202020 its reverse (2020243), we get a palindrome (36222263).

The spelling of 34202020 in words is "thirty-four million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 109 116 145 218 290 436 541 545 580 1082 1090 2164 2180 2705 3161 5410 6322 10820 12644 15689 15805 31378 31610 58969 62756 63220 78445 117938 156890 235876 294845 313780 589690 1179380 1710101 3420202 6840404 8550505 17101010 34202020