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36038340 = 223251315401
BaseRepresentation
bin1000100101111…
…0011011000100
32111210221022100
42021132123010
533211211330
63324232100
7615215022
oct211363304
974727270
1036038340
1119385158
121009b630
13760a580
144b01712
15326d060
hex225e6c4

36038340 has 72 divisors (see below), whose sum is σ = 117732888. Its totient is φ = 8870400.

The previous prime is 36038323. The next prime is 36038341. The reversal of 36038340 is 4383063.

It can be written as a sum of positive squares in 4 ways, for example, as 7650756 + 28387584 = 2766^2 + 5328^2 .

It is not an unprimeable number, because it can be changed into a prime (36038341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5361 + ... + 10040.

It is an arithmetic number, because the mean of its divisors is an integer number (1635179).

Almost surely, 236038340 is an apocalyptic number.

36038340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36038340 is an abundant number, since it is smaller than the sum of its proper divisors (81694548).

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

36038340 is a wasteful number, since it uses less digits than its factorization.

36038340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15429 (or 15424 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36038340 is about 6003.1941497839. The cubic root of 36038340 is about 330.3099017189.

The spelling of 36038340 in words is "thirty-six million, thirty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 15401 30802 46203 61604 77005 92406 138609 154010 184812 200213 231015 277218 308020 400426 462030 554436 600639 693045 800852 924060 1001065 1201278 1386090 1801917 2002130 2402556 2772180 3003195 3603834 4004260 6006390 7207668 9009585 12012780 18019170 36038340