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34278671025 = 3252123432
BaseRepresentation
bin11111111011001010…
…110000001010110001
310021110221100220121100
4133323022300022301
51030200314433100
623425234515013
72322312616254
oct377312601261
9107427326540
1034278671025
11135a0463995
126787a35a69
1333039572c1
1419327bd09b
15d59598400
hex7fb2b02b1

34278671025 has 27 divisors (see below), whose sum is σ = 61401883179. Its totient is φ = 18280476720.

The previous prime is 34278670999. The next prime is 34278671041. The reversal of 34278671025 is 52017687243.

The square root of 34278671025 is 185145.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12340321569 + 21938349456 = 111087^2 + 148116^2 .

It is not a de Polignac number, because 34278671025 - 213 = 34278662833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2771004 + ... + 2783346.

Almost surely, 234278671025 is an apocalyptic number.

34278671025 is the 185145-th square number.

34278671025 is the 92573-rd centered octagonal number.

It is an amenable number.

34278671025 is a deficient number, since it is larger than the sum of its proper divisors (27123212154).

34278671025 is an frugal number, since it uses more digits than its factorization.

34278671025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24702 (or 12351 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 34278671025 in words is "thirty-four billion, two hundred seventy-eight million, six hundred seventy-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 12343 37029 61715 111087 185145 308575 555435 925725 2777175 152349649 457048947 761748245 1371146841 2285244735 3808741225 6855734205 11426223675 34278671025