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380097664 = 2729102397
BaseRepresentation
bin10110101001111…
…101010010000000
3222111012221222021
4112221331102000
51234301111124
6101414451224
712263530312
oct2651752200
9874187867
10380097664
11185612001
12a7363b14
136099377b
14386a37b2
15235817e4
hex16a7d480

380097664 has 32 divisors (see below), whose sum is σ = 783344700. Its totient is φ = 183493632.

The previous prime is 380097661. The next prime is 380097667. The reversal of 380097664 is 466790083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (380097661) and next prime (380097667).

It can be written as a sum of positive squares in 2 ways, for example, as 379470400 + 627264 = 19480^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 380097664.

It is not an unprimeable number, because it can be changed into a prime (380097661) 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 3 ways as a sum of consecutive naturals, for example, 47487 + ... + 54910.

Almost surely, 2380097664 is an apocalyptic number.

It is an amenable number.

380097664 is an abundant number, since it is smaller than the sum of its proper divisors (403247036).

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

380097664 is a wasteful number, since it uses less digits than its factorization.

380097664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102440 (or 102428 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 380097664 is about 19496.0935574284. The cubic root of 380097664 is about 724.3776912772.

The spelling of 380097664 in words is "three hundred eighty million, ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 102397 204794 409588 819176 1638352 2969513 3276704 5939026 6553408 11878052 13106816 23756104 47512208 95024416 190048832 380097664