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80338000 = 245340169
BaseRepresentation
bin1001100100111…
…01110001010000
312121011121000111
410302131301100
5131031304000
611545531104
71663601401
oct462356120
9177147014
1080338000
1141392146
1222aa3a94
131384b1a2
14a9539a8
1570bdcba
hex4c9dc50

80338000 has 40 divisors (see below), whose sum is σ = 194262120. Its totient is φ = 32134400.

The previous prime is 80337997. The next prime is 80338007. The reversal of 80338000 is 83308.

It can be written as a sum of positive squares in 4 ways, for example, as 1056784 + 79281216 = 1028^2 + 8904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80338007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18085 + ... + 22084.

It is an arithmetic number, because the mean of its divisors is an integer number (4856553).

Almost surely, 280338000 is an apocalyptic number.

80338000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80338000 is an abundant number, since it is smaller than the sum of its proper divisors (113924120).

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

80338000 is a wasteful number, since it uses less digits than its factorization.

80338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40192 (or 40176 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 80338000 is about 8963.1467688530. The cubic root of 80338000 is about 431.4929178221.

It can be divided in two parts, 80 and 338000, that multiplied together give a square (27040000 = 52002).

The spelling of 80338000 in words is "eighty million, three hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 40169 80338 160676 200845 321352 401690 642704 803380 1004225 1606760 2008450 3213520 4016900 5021125 8033800 10042250 16067600 20084500 40169000 80338000