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376640766 = 23828703
BaseRepresentation
bin10110011100110…
…001010011111110
3222020201100000000
4112130301103332
51232410001031
6101212415130
712222252015
oct2634612376
9866640000
10376640766
11183670867
12a61774a6
1360053178
1438043a7c
15230ec3e6
hex167314fe

376640766 has 36 divisors (see below), whose sum is σ = 847428192. Its totient is φ = 125542548.

The previous prime is 376640753. The next prime is 376640767. The reversal of 376640766 is 667046673.

It is a super-2 number, since 2×3766407662 = 283716533226133512, which contains 22 as substring.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376640767) 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 17 ways as a sum of consecutive naturals, for example, 1230 + ... + 27473.

It is an arithmetic number, because the mean of its divisors is an integer number (23539672).

Almost surely, 2376640766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376640766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423714096).

376640766 is an abundant number, since it is smaller than the sum of its proper divisors (470787426).

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

376640766 is an frugal number, since it uses more digits than its factorization.

376640766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28729 (or 28708 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 376640766 is about 19407.2348880514. The cubic root of 376640766 is about 722.1749856583.

The spelling of 376640766 in words is "three hundred seventy-six million, six hundred forty thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 6561 13122 28703 57406 86109 172218 258327 516654 774981 1549962 2324943 4649886 6974829 13949658 20924487 41848974 62773461 125546922 188320383 376640766