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34532085 = 3572379181
BaseRepresentation
bin1000001110111…
…0101011110101
32101222102010010
42003232223311
532320011320
63232050433
7566342430
oct203565365
971872103
1034532085
1118546515
12b693a19
137200ab3
14482c817
153071ae0
hex20eeaf5

34532085 has 64 divisors (see below), whose sum is σ = 67092480. Its totient is φ = 14826240.

The previous prime is 34532077. The next prime is 34532107. The reversal of 34532085 is 58023543.

It is not a de Polignac number, because 34532085 - 23 = 34532077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190695 + ... + 190875.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 234532085 is an apocalyptic number.

34532085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34532085 is a deficient number, since it is larger than the sum of its proper divisors (32560395).

34532085 is a wasteful number, since it uses less digits than its factorization.

34532085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 34532085 is about 5876.4006840923. The cubic root of 34532085 is about 325.6423901740.

The spelling of 34532085 in words is "thirty-four million, five hundred thirty-two thousand, eighty-five".

Divisors: 1 3 5 7 15 21 23 35 69 79 105 115 161 181 237 345 395 483 543 553 805 905 1185 1267 1659 1817 2415 2715 2765 3801 4163 5451 6335 8295 9085 12489 12719 14299 19005 20815 27255 29141 38157 42897 62445 63595 71495 87423 100093 145705 190785 214485 300279 328877 437115 500465 986631 1501395 1644385 2302139 4933155 6906417 11510695 34532085