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34328701305 = 32559891311109
BaseRepresentation
bin11111111110001001…
…100110100101111001
310021121102111201020200
4133332021212211321
51030301121420210
623434223112413
72323461101163
oct377611464571
9107542451220
1034328701305
1113616725428
1267a0742709
133311123412
1419392c3933
15d5db7c0c0
hex7fe266979

34328701305 has 96 divisors (see below), whose sum is σ = 61714224000. Its totient is φ = 17644323840.

The previous prime is 34328701259. The next prime is 34328701333. The reversal of 34328701305 is 50310782343.

34328701305 is a `hidden beast` number, since 343 + 2 + 8 + 7 + 0 + 1 + 305 = 666.

It is not a de Polignac number, because 34328701305 - 27 = 34328701177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34328701305.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30954091 + ... + 30955199.

It is an arithmetic number, because the mean of its divisors is an integer number (642856500).

Almost surely, 234328701305 is an apocalyptic number.

It is an amenable number.

34328701305 is a deficient number, since it is larger than the sum of its proper divisors (27385522695).

34328701305 is a wasteful number, since it uses less digits than its factorization.

34328701305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 34328701305 in words is "thirty-four billion, three hundred twenty-eight million, seven hundred one thousand, three hundred five".

Divisors: 1 3 5 9 15 45 59 89 131 177 267 295 393 445 531 655 801 885 1109 1179 1335 1965 2655 3327 4005 5251 5545 5895 7729 9981 11659 15753 16635 23187 26255 34977 38645 47259 49905 58295 65431 69561 78765 98701 104931 115935 145279 174885 196293 236295 296103 327155 347805 435837 493505 524655 588879 687881 726395 888309 981465 1307511 1480515 2063643 2179185 2944395 3439405 4441545 5823359 6190929 6537555 8571461 10318215 12929831 17470077 25714383 29116795 30954645 38789493 42857305 52410231 64649155 77143149 87350385 116368479 128571915 193947465 262051155 385715745 581842395 762860029 2288580087 3814300145 6865740261 11442900435 34328701305