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34813485 = 32572937103
BaseRepresentation
bin1000010011001…
…1011000101101
32102111201010100
42010303120231
532403012420
63242101313
7601624020
oct204633055
972451110
1034813485
1118718983
12b7aa839
13729bbc5
1448a31b7
1530ca190
hex213362d

34813485 has 96 divisors (see below), whose sum is σ = 73981440. Its totient is φ = 14805504.

The previous prime is 34813463. The next prime is 34813487. The reversal of 34813485 is 58431843.

It is not a de Polignac number, because 34813485 - 212 = 34809389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34813487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337944 + ... + 338046.

It is an arithmetic number, because the mean of its divisors is an integer number (770640).

Almost surely, 234813485 is an apocalyptic number.

34813485 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34813485 is an abundant number, since it is smaller than the sum of its proper divisors (39167955).

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

34813485 is a wasteful number, since it uses less digits than its factorization.

34813485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 184 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 34813485 is about 5900.2953315915. The cubic root of 34813485 is about 326.5245454008.

The spelling of 34813485 in words is "thirty-four million, eight hundred thirteen thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 29 35 37 45 63 87 103 105 111 145 185 203 259 261 309 315 333 435 515 555 609 721 777 927 1015 1073 1295 1305 1545 1665 1827 2163 2331 2987 3045 3219 3605 3811 3885 4635 5365 6489 7511 8961 9135 9657 10815 11433 11655 14935 16095 19055 20909 22533 26677 26883 32445 34299 37555 44805 48285 57165 62727 67599 80031 104545 110519 112665 133385 134415 171495 188181 240093 313635 331557 337995 400155 552595 773633 940905 994671 1200465 1657785 2320899 3868165 4973355 6962697 11604495 34813485