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376398801 = 322922232
BaseRepresentation
bin10110011011110…
…110001111010001
3222020021001002100
4112123312033101
51232324230201
6101203311013
712220223412
oct2633661721
9866231070
10376398801
11183515a99
12a607b469
135cc99cac
1437dbd809
15230a0886
hex166f63d1

376398801 has 27 divisors (see below), whose sum is σ = 565617819. Its totient is φ = 241193232.

The previous prime is 376398793. The next prime is 376398811. The reversal of 376398801 is 108893673.

It is a happy number.

The square root of 376398801 is 19401.

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

376398801 is a `hidden beast` number, since 3 + 7 + 639 + 8 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 197374401 + 179024400 = 14049^2 + 13380^2 .

It is not a de Polignac number, because 376398801 - 23 = 376398793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (376398811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1687776 + ... + 1687998.

Almost surely, 2376398801 is an apocalyptic number.

376398801 is the 19401-st square number.

376398801 is the 9701-st centered octagonal number.

It is an amenable number.

376398801 is a deficient number, since it is larger than the sum of its proper divisors (189219018).

376398801 is an equidigital number, since it uses as much as digits as its factorization.

376398801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The cubic root of 376398801 is about 722.0203037801.

The spelling of 376398801 in words is "three hundred seventy-six million, three hundred ninety-eight thousand, eight hundred one".

Divisors: 1 3 9 29 87 223 261 669 841 2007 2523 6467 7569 19401 49729 58203 149187 187543 447561 562629 1442141 1687887 4326423 12979269 41822089 125466267 376398801