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36320768 = 29116449
BaseRepresentation
bin1000101010001…
…1011000000000
32112100021201122
42022203120000
533244231033
63334251412
7620502311
oct212433000
975307648
1036320768
1119558370
12101b6b68
1376a8ca3
144b76608
1532c6a98
hex22a3600

36320768 has 40 divisors (see below), whose sum is σ = 79180200. Its totient is φ = 16506880.

The previous prime is 36320759. The next prime is 36320771. The reversal of 36320768 is 86702363.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2408 + ... + 8856.

It is an arithmetic number, because the mean of its divisors is an integer number (1979505).

Almost surely, 236320768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39590100).

36320768 is an abundant number, since it is smaller than the sum of its proper divisors (42859432).

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

36320768 is an equidigital number, since it uses as much as digits as its factorization.

36320768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6478 (or 6462 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 36320768 is about 6026.6713864288. The cubic root of 36320768 is about 331.1705233322.

The spelling of 36320768 in words is "thirty-six million, three hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 6449 12898 25796 51592 70939 103184 141878 206368 283756 412736 567512 825472 1135024 1650944 2270048 3301888 4540096 9080192 18160384 36320768