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34097052 = 22311972663
BaseRepresentation
bin1000001000010…
…0011110011100
32101011022100210
42002010132130
532212101202
63214452420
7562551213
oct202043634
971138323
1034097052
1118279690
12b504110
1370aaa92
14475807a
152ed7c6c
hex208479c

34097052 has 48 divisors (see below), whose sum is σ = 87720192. Its totient is φ = 10222080.

The previous prime is 34097051. The next prime is 34097083. The reversal of 34097052 is 25079043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34097051) 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, 11473 + ... + 14135.

It is an arithmetic number, because the mean of its divisors is an integer number (1827504).

Almost surely, 234097052 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 34097052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43860096).

34097052 is an abundant number, since it is smaller than the sum of its proper divisors (53623140).

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

34097052 is a wasteful number, since it uses less digits than its factorization.

34097052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 34097052 is about 5839.2681048227. The cubic root of 34097052 is about 324.2691331858.

Subtracting from 34097052 its reverse (25079043), we obtain a square (9018009 = 30032).

The spelling of 34097052 in words is "thirty-four million, ninety-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 2663 3201 4268 5326 6402 7989 10652 12804 15978 29293 31956 58586 87879 117172 175758 258311 351516 516622 774933 1033244 1549866 2841421 3099732 5682842 8524263 11365684 17048526 34097052