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34215012 = 223213292521
BaseRepresentation
bin1000001010000…
…1010001100100
32101101022011200
42002201101210
532224340022
63221202500
7563552136
oct202412144
971338150
1034215012
111834a277
12b560430
13711c690
144789056
15300cbac
hex20a1464

34215012 has 72 divisors (see below), whose sum is σ = 96390840. Its totient is φ = 10160640.

The previous prime is 34214993. The next prime is 34215017. The reversal of 34215012 is 21051243.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 33246756 = 984^2 + 5766^2 .

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 (34215017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12312 + ... + 14832.

Almost surely, 234215012 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 34215012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48195420).

34215012 is an abundant number, since it is smaller than the sum of its proper divisors (62175828).

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

34215012 is a wasteful number, since it uses less digits than its factorization.

34215012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34215012 is about 5849.3599649876. The cubic root of 34215012 is about 324.6426431062.

Adding to 34215012 its reverse (21051243), we get a palindrome (55266255).

The spelling of 34215012 in words is "thirty-four million, two hundred fifteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 2521 3393 4524 5042 6786 7563 10084 13572 15126 22689 30252 32773 45378 65546 73109 90756 98319 131092 146218 196638 219327 292436 294957 393276 438654 589914 657981 877308 950417 1179828 1315962 1900834 2631924 2851251 3801668 5702502 8553753 11405004 17107506 34215012