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36342780 = 22351095557
BaseRepresentation
bin1000101010100…
…0101111111100
32112101101220220
42022220233330
533300432110
63334541340
7620623425
oct212505774
975341826
1036342780
1119572961
1210207850
1376b6006
144b8064c
1532cd370
hex22a8bfc

36342780 has 48 divisors (see below), whose sum is σ = 102711840. Its totient is φ = 9600768.

The previous prime is 36342767. The next prime is 36342781. The reversal of 36342780 is 8724363.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36342781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3762 + ... + 9318.

It is an arithmetic number, because the mean of its divisors is an integer number (2139830).

Almost surely, 236342780 is an apocalyptic number.

36342780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36342780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51355920).

36342780 is an abundant number, since it is smaller than the sum of its proper divisors (66369060).

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

36342780 is a wasteful number, since it uses less digits than its factorization.

36342780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 36342780 is about 6028.4973252047. The cubic root of 36342780 is about 331.2374111746.

The spelling of 36342780 in words is "thirty-six million, three hundred forty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 5557 6540 11114 16671 22228 27785 33342 55570 66684 83355 111140 166710 333420 605713 1211426 1817139 2422852 3028565 3634278 6057130 7268556 9085695 12114260 18171390 36342780