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34216002 = 23217313607
BaseRepresentation
bin1000001010000…
…1100001000010
32101101100112100
42002201201002
532224403002
63221211230
7563555052
oct202414102
971340470
1034216002
111834aa97
12b560b16
13711cc72
144789562
15300d11c
hex20a1842

34216002 has 48 divisors (see below), whose sum is σ = 81050112. Its totient is φ = 10385280.

The previous prime is 34216001. The next prime is 34216067. The reversal of 34216002 is 20061243.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (34216001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7683 + ... + 11289.

It is an arithmetic number, because the mean of its divisors is an integer number (1688544).

Almost surely, 234216002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34216002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40525056).

34216002 is an abundant number, since it is smaller than the sum of its proper divisors (46834110).

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

34216002 is a wasteful number, since it uses less digits than its factorization.

34216002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3660 counting only the distinct ones).

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

The square root of 34216002 is about 5849.4445890187. Note that the first 3 decimals coincide. The cubic root of 34216002 is about 324.6457742184.

Adding to 34216002 its reverse (20061243), we get a palindrome (54277245).

The spelling of 34216002 in words is "thirty-four million, two hundred sixteen thousand, two".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1581 3162 3607 4743 7214 9486 10821 21642 32463 61319 64926 111817 122638 183957 223634 335451 367914 551871 670902 1006353 1103742 1900889 2012706 3801778 5702667 11405334 17108001 34216002