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376856640 = 26325197197
BaseRepresentation
bin10110011101100…
…110000001000000
3222021010022010100
4112131212001000
51232433403030
6101221202400
712224141256
oct2635460100
9867108110
10376856640
111837a8a76
12a6260400
13600ca4c4
143809c5d6
1523141360
hex16766040

376856640 has 336 divisors, whose sum is σ = 1397934720. Its totient is φ = 92897280.

The previous prime is 376856639. The next prime is 376856647. The reversal of 376856640 is 46658673.

It is a super-2 number, since 2×3768566402 = 284041854224179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (376856647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3885072 + ... + 3885168.

It is an arithmetic number, because the mean of its divisors is an integer number (4160520).

Almost surely, 2376856640 is an apocalyptic number.

376856640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698967360).

376856640 is an abundant number, since it is smaller than the sum of its proper divisors (1021078080).

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

376856640 is a wasteful number, since it uses less digits than its factorization.

376856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 376856640 is about 19412.7957801034. The cubic root of 376856640 is about 722.3129323365.

The spelling of 376856640 in words is "three hundred seventy-six million, eight hundred fifty-six thousand, six hundred forty".