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34034052 = 22313297523
BaseRepresentation
bin1000000111010…
…1000110000100
32101001002221110
42001311012010
532203042202
63213245020
7562166433
oct201650604
971032843
1034034052
1118236318
12b493770
1370881c0
14473d11a
152ec426c
hex2075184

34034052 has 48 divisors (see below), whose sum is σ = 88482240. Its totient is φ = 10109568.

The previous prime is 34034047. The next prime is 34034053. The reversal of 34034052 is 25043043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34034053) 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, 763 + ... + 8285.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 234034052 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 34034052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44241120).

34034052 is an abundant number, since it is smaller than the sum of its proper divisors (54448188).

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

34034052 is a wasteful number, since it uses less digits than its factorization.

34034052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7572 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 34034052 is about 5833.8710990216. The cubic root of 34034052 is about 324.0692962587.

Adding to 34034052 its reverse (25043043), we get a palindrome (59077095).

The spelling of 34034052 in words is "thirty-four million, thirty-four thousand, fifty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 7523 15046 22569 30092 45138 90276 97799 195598 218167 293397 391196 436334 586794 654501 872668 1173588 1309002 2618004 2836171 5672342 8508513 11344684 17017026 34034052