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34203712 = 26737321
BaseRepresentation
bin1000001001111…
…0100001000000
32101100201200011
42002132201000
532224004322
63221034304
7563504164
oct202364100
971321604
1034203712
1118341834
12b555994
1371174aa
144784ca4
153009677
hex209e840

34203712 has 28 divisors (see below), whose sum is σ = 68812156. Its totient is φ = 16865280.

The previous prime is 34203703. The next prime is 34203713. The reversal of 34203712 is 21730243.

It can be written as a sum of positive squares in 2 ways, for example, as 6071296 + 28132416 = 2464^2 + 5304^2 .

It is not an unprimeable number, because it can be changed into a prime (34203713) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1012 + ... + 8332.

It is an arithmetic number, because the mean of its divisors is an integer number (2457577).

Almost surely, 234203712 is an apocalyptic number.

34203712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34203712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34406078).

34203712 is an abundant number, since it is smaller than the sum of its proper divisors (34608444).

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

34203712 is an equidigital number, since it uses as much as digits as its factorization.

34203712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7406 (or 7396 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 34203712 is about 5848.3939675778. The cubic root of 34203712 is about 324.6068998697.

Adding to 34203712 its reverse (21730243), we get a palindrome (55933955).

The spelling of 34203712 in words is "thirty-four million, two hundred three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4672 7321 14642 29284 58568 117136 234272 468544 534433 1068866 2137732 4275464 8550928 17101856 34203712