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380457043344 = 24327410492
BaseRepresentation
bin1011000100101010000…
…00011100010110010000
31100101000201001022100100
411202111000130112100
522213134000341334
6450440214452400
736326036340000
oct5422500342620
91311021038310
10380457043344
1113739509a854
126189a364100
1329b52858271
14145b2890000
159d6ad5cc99
hex589501c590

380457043344 has 225 divisors, whose sum is σ = 1243321193153. Its totient is φ = 108598387968.

The previous prime is 380457043327. The next prime is 380457043349. The reversal of 380457043344 is 443340754083.

The square root of 380457043344 is 616812.

It is a perfect power (a square), and thus also a powerful number.

380457043344 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 570 + 4 + 33 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 345052857744 + 35404185600 = 587412^2 + 188160^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 380457043344.

It is not an unprimeable number, because it can be changed into a prime (380457043349) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 362684932 + ... + 362685980.

Almost surely, 2380457043344 is an apocalyptic number.

380457043344 is the 616812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380457043344

380457043344 is an abundant number, since it is smaller than the sum of its proper divisors (862864149809).

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

380457043344 is an frugal number, since it uses more digits than its factorization.

380457043344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 380457043344 in words is "three hundred eighty billion, four hundred fifty-seven million, forty-three thousand, three hundred forty-four".