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380346561 = 32723262489
BaseRepresentation
bin10110101010111…
…010000011000001
3222111200121101200
4112222322003001
51234332042221
6101424051413
712265615050
oct2652720301
9874617350
10380346561
11185772001
12a7463b69
1360a4cb4a
143872a397
15235d0426
hex16aba0c1

380346561 has 24 divisors (see below), whose sum is σ = 655175040. Its totient is φ = 207890496.

The previous prime is 380346517. The next prime is 380346581. The reversal of 380346561 is 165643083.

It is not a de Polignac number, because 380346561 - 27 = 380346433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (380346581) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 129796 + ... + 132693.

It is an arithmetic number, because the mean of its divisors is an integer number (27298960).

Almost surely, 2380346561 is an apocalyptic number.

It is an amenable number.

380346561 is a deficient number, since it is larger than the sum of its proper divisors (274828479).

380346561 is a wasteful number, since it uses less digits than its factorization.

380346561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262525 (or 262522 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 380346561 is about 19502.4757659124. The cubic root of 380346561 is about 724.5357700306.

The spelling of 380346561 in words is "three hundred eighty million, three hundred forty-six thousand, five hundred sixty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 262489 787467 1837423 2362401 5512269 6037247 16536807 18111741 42260729 54335223 126782187 380346561