Search a number
-
+
36346530 = 23511831327
BaseRepresentation
bin1000101010100…
…1101010100010
32112101121001210
42022221222202
533301042110
63335010550
7620640363
oct212515242
975347053
1036346530
1119575760
1210209a56
1376b792c
144b81b6a
1532ce520
hex22a9aa2

36346530 has 64 divisors (see below), whose sum is σ = 96380928. Its totient is φ = 8698560.

The previous prime is 36346529. The next prime is 36346549. The reversal of 36346530 is 3564363.

36346530 is nontrivially palindromic in base 4.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26727 + ... + 28053.

It is an arithmetic number, because the mean of its divisors is an integer number (1505952).

Almost surely, 236346530 is an apocalyptic number.

36346530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36346530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48190464).

36346530 is an abundant number, since it is smaller than the sum of its proper divisors (60034398).

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

36346530 is a wasteful number, since it uses less digits than its factorization.

36346530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431.

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 36346530 is about 6028.8083399624. The cubic root of 36346530 is about 331.2488036031.

The spelling of 36346530 in words is "thirty-six million, three hundred forty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 110 165 166 249 330 415 498 830 913 1245 1327 1826 2490 2654 2739 3981 4565 5478 6635 7962 9130 13270 13695 14597 19905 27390 29194 39810 43791 72985 87582 110141 145970 218955 220282 330423 437910 550705 660846 1101410 1211551 1652115 2423102 3304230 3634653 6057755 7269306 12115510 18173265 36346530