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34004052 = 22328910613
BaseRepresentation
bin1000000110110…
…1110001010100
32100222120210100
42001231301110
532201112202
63212454100
7562013115
oct201556124
970876710
1034004052
1118215825
12b47a330
137077654
14473220c
152eba41c
hex206dc54

34004052 has 36 divisors (see below), whose sum is σ = 86928660. Its totient is φ = 11206272.

The previous prime is 34004017. The next prime is 34004071. The reversal of 34004052 is 25040043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23853456 + 10150596 = 4884^2 + 3186^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2103 + ... + 8510.

It is an arithmetic number, because the mean of its divisors is an integer number (2414685).

Almost surely, 234004052 is an apocalyptic number.

It is an amenable number.

34004052 is an abundant number, since it is smaller than the sum of its proper divisors (52924608).

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

34004052 is a wasteful number, since it uses less digits than its factorization.

34004052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10712 (or 10707 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34004052 is about 5831.2993406273. The cubic root of 34004052 is about 323.9740491332.

Adding to 34004052 its reverse (25040043), we get a palindrome (59044095).

The spelling of 34004052 in words is "thirty-four million, four thousand, fifty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 10613 21226 31839 42452 63678 95517 127356 191034 382068 944557 1889114 2833671 3778228 5667342 8501013 11334684 17002026 34004052