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364068820 = 22518203441
BaseRepresentation
bin10101101100110…
…011111111010100
3221101001121112101
4111230303333110
51221200200240
6100043131444
712010351063
oct2554637724
9841047471
10364068820
11177564325
12a1b13b84
135a570a4b
14364d01da
1521e6739a
hex15b33fd4

364068820 has 12 divisors (see below), whose sum is σ = 764544564. Its totient is φ = 145627520.

The previous prime is 364068811. The next prime is 364068827. The reversal of 364068820 is 28860463.

It can be written as a sum of positive squares in 2 ways, for example, as 93663684 + 270405136 = 9678^2 + 16444^2 .

It is a super-2 number, since 2×3640688202 = 265092211392384800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 364068820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364068827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9101701 + ... + 9101740.

It is an arithmetic number, because the mean of its divisors is an integer number (63712047).

Almost surely, 2364068820 is an apocalyptic number.

It is an amenable number.

364068820 is an abundant number, since it is smaller than the sum of its proper divisors (400475744).

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

364068820 is a wasteful number, since it uses less digits than its factorization.

364068820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18203450 (or 18203448 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 364068820 is about 19080.5875171599. The cubic root of 364068820 is about 714.0486932820.

The spelling of 364068820 in words is "three hundred sixty-four million, sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 18203441 36406882 72813764 91017205 182034410 364068820