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36345309 = 3731113219
BaseRepresentation
bin1000101010100…
…1010111011101
32112101112101120
42022221113131
533301022214
63335001153
7620634000
oct212512735
975345346
1036345309
1119574850
12102091b9
1376b7200
144b81537
1532cdea9
hex22a95dd

36345309 has 96 divisors (see below), whose sum is σ = 70272000. Its totient is φ = 16511040.

The previous prime is 36345307. The next prime is 36345329. The reversal of 36345309 is 90354363.

It is not a de Polignac number, because 36345309 - 21 = 36345307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 36345309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36345307) 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, 1912902 + ... + 1912920.

It is an arithmetic number, because the mean of its divisors is an integer number (732000).

Almost surely, 236345309 is an apocalyptic number.

36345309 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

36345309 is a deficient number, since it is larger than the sum of its proper divisors (33926691).

36345309 is a wasteful number, since it uses less digits than its factorization.

36345309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 36345309 is about 6028.7070753189. The cubic root of 36345309 is about 331.2450943144.

The spelling of 36345309 in words is "thirty-six million, three hundred forty-five thousand, three hundred nine".

Divisors: 1 3 7 11 13 19 21 33 39 49 57 77 91 133 143 147 169 209 231 247 273 343 399 429 507 539 627 637 741 931 1001 1029 1183 1463 1617 1729 1859 1911 2717 2793 3003 3211 3549 3773 4389 4459 5187 5577 6517 7007 8151 8281 9633 10241 11319 12103 13013 13377 19019 19551 21021 22477 24843 30723 35321 36309 39039 49049 57057 57967 67431 71687 84721 91091 105963 133133 147147 157339 173901 215061 247247 254163 273273 399399 472017 637637 741741 931931 1101373 1730729 1912911 2795793 3304119 5192187 12115103 36345309