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34152349 = 711716247
BaseRepresentation
bin1000001001000…
…1111110011101
32101021010012211
42002101332131
532220333344
63220000421
7563201350
oct202217635
971233184
1034152349
1118307190
12b530111
1370c9cba
144770297
152ee9334
hex2091f9d

34152349 has 16 divisors (see below), whose sum is σ = 43186176. Its totient is φ = 26233200.

The previous prime is 34152341. The next prime is 34152353. The reversal of 34152349 is 94325143.

34152349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34152349 - 23 = 34152341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34152349.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34152341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2344 + ... + 8590.

It is an arithmetic number, because the mean of its divisors is an integer number (2699136).

Almost surely, 234152349 is an apocalyptic number.

It is an amenable number.

34152349 is a deficient number, since it is larger than the sum of its proper divisors (9033827).

34152349 is a wasteful number, since it uses less digits than its factorization.

34152349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336.

The product of its digits is 12960, while the sum is 31.

The square root of 34152349 is about 5844.0011122518. The cubic root of 34152349 is about 324.4443333342. Note that the first 3 decimals are identical.

The spelling of 34152349 in words is "thirty-four million, one hundred fifty-two thousand, three hundred forty-nine".

Divisors: 1 7 11 71 77 497 781 5467 6247 43729 68717 443537 481019 3104759 4878907 34152349