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73447380 = 22325408041
BaseRepresentation
bin1000110000010…
…11011111010100
312010012111212100
410120023133110
5122300304010
611142122100
71551202206
oct430133724
9163174770
1073447380
1138506116
1220720330
13122a79b6
149a7c776
1566ac2c0
hex460b7d4

73447380 has 36 divisors (see below), whose sum is σ = 222790932. Its totient is φ = 19585920.

The previous prime is 73447379. The next prime is 73447393. The reversal of 73447380 is 8374437.

It can be written as a sum of positive squares in 2 ways, for example, as 16112196 + 57335184 = 4014^2 + 7572^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203841 + ... + 204200.

It is an arithmetic number, because the mean of its divisors is an integer number (6188637).

Almost surely, 273447380 is an apocalyptic number.

It is an amenable number.

73447380 is an abundant number, since it is smaller than the sum of its proper divisors (149343552).

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

73447380 is a wasteful number, since it uses less digits than its factorization.

73447380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408056 (or 408051 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 73447380 is about 8570.1446895604. The cubic root of 73447380 is about 418.7859498356.

The spelling of 73447380 in words is "seventy-three million, four hundred forty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 408041 816082 1224123 1632164 2040205 2448246 3672369 4080410 4896492 6120615 7344738 8160820 12241230 14689476 18361845 24482460 36723690 73447380