Search a number
-
+
34201602 = 234613461
BaseRepresentation
bin1000001001111…
…0000000000010
32101100121210000
42002132000002
532223422402
63221020430
7563465061
oct202360002
971317700
1034201602
1118340196
12b554716
137116546
1447841d8
153008c1c
hex209e002

34201602 has 40 divisors (see below), whose sum is σ = 77915772. Its totient is φ = 11210400.

The previous prime is 34201591. The next prime is 34201613. The reversal of 34201602 is 20610243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34201591) and next prime (34201613).

It can be written as a sum of positive squares in 2 ways, for example, as 27342441 + 6859161 = 5229^2 + 2619^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 8152 + ... + 11612.

Almost surely, 234201602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34201602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38957886).

34201602 is an abundant number, since it is smaller than the sum of its proper divisors (43714170).

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

34201602 is a wasteful number, since it uses less digits than its factorization.

34201602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34201602 is about 5848.2135733915. The cubic root of 34201602 is about 324.6002248180.

Adding to 34201602 its reverse (20610243), we get a palindrome (54811845).

The spelling of 34201602 in words is "thirty-four million, two hundred one thousand, six hundred two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 1098 1647 3294 3461 4941 6922 9882 10383 20766 31149 62298 93447 186894 211121 280341 422242 560682 633363 1266726 1900089 3800178 5700267 11400534 17100801 34201602