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380133009 = 32672972
BaseRepresentation
bin10110101010000…
…101111010010001
3222111021202110100
4112222011322101
51234303224014
6101415323013
712264035334
oct2652057221
9874252410
10380133009
11185636613
12a7380469
13609a6899
14386b261b
152358c009
hex16a85e91

380133009 has 27 divisors (see below), whose sum is σ = 563204187. Its totient is φ = 247065984.

The previous prime is 380133007. The next prime is 380133011. The reversal of 380133009 is 900331083.

The square root of 380133009 is 19497.

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

It is an interprime number because it is at equal distance from previous prime (380133007) and next prime (380133011).

It can be written as a sum of positive squares in only one way, i.e., 170694225 + 209438784 = 13065^2 + 14472^2 .

It is not a de Polignac number, because 380133009 - 21 = 380133007 is a prime.

It is a super-2 number, since 2×3801330092 = 289002209062788162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (380133007) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3918849 + ... + 3918945.

Almost surely, 2380133009 is an apocalyptic number.

380133009 is the 19497-th square number.

380133009 is the 9749-th centered octagonal number.

It is an amenable number.

380133009 is a deficient number, since it is larger than the sum of its proper divisors (183071178).

380133009 is an frugal number, since it uses more digits than its factorization.

380133009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The cubic root of 380133009 is about 724.4001436961.

The spelling of 380133009 in words is "three hundred eighty million, one hundred thirty-three thousand, nine".

Divisors: 1 3 9 67 97 201 291 603 873 4489 6499 9409 13467 19497 28227 40401 58491 84681 435433 630403 1306299 1891209 3918897 5673627 42237001 126711003 380133009