Search a number
-
+
34212100 = 22521326317
BaseRepresentation
bin1000001010000…
…0100100000100
32101101011011211
42002200210010
532224241400
63221141204
7563540506
oct202404404
971334154
1034212100
111834806a
12b55a804
13711b260
144787d76
15300bdba
hex20a0904

34212100 has 36 divisors (see below), whose sum is σ = 79954084. Its totient is φ = 12631680.

The previous prime is 34212043. The next prime is 34212137. The reversal of 34212100 is 121243.

It can be written as a sum of positive squares in 6 ways, for example, as 2334784 + 31877316 = 1528^2 + 5646^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11859 + ... + 14458.

Almost surely, 234212100 is an apocalyptic number.

It is an amenable number.

34212100 is an abundant number, since it is smaller than the sum of its proper divisors (45741984).

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

34212100 is a wasteful number, since it uses less digits than its factorization.

34212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26344 (or 26337 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 34212100 is about 5849.1110435689. Note that the first 3 decimals coincide. The cubic root of 34212100 is about 324.6334328586.

Adding to 34212100 its reverse (121243), we get a palindrome (34333343).

The spelling of 34212100 in words is "thirty-four million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 26317 52634 105268 131585 263170 342121 526340 657925 684242 1315850 1368484 1710605 2631700 3421210 6842420 8553025 17106050 34212100