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376480 = 25513181
BaseRepresentation
bin1011011111010100000
3201010102201
41123322200
544021410
612022544
73125416
oct1337240
9633381
10376480
11237945
12161a54
13102490
149b2b6
157683a
hex5bea0

376480 has 48 divisors (see below), whose sum is σ = 963144. Its totient is φ = 138240.

The previous prime is 376477. The next prime is 376483. The reversal of 376480 is 84673.

It is an interprime number because it is at equal distance from previous prime (376477) and next prime (376483).

It can be written as a sum of positive squares in 4 ways, for example, as 110224 + 266256 = 332^2 + 516^2 .

It is not an unprimeable number, because it can be changed into a prime (376483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1990 + ... + 2170.

2376480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481572).

376480 is an abundant number, since it is smaller than the sum of its proper divisors (586664).

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

376480 is a wasteful number, since it uses less digits than its factorization.

376480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 376480 is about 613.5796606799. The cubic root of 376480 is about 72.2072219559.

It can be divided in two parts, 3764 and 80, that added together give a square (3844 = 622).

The spelling of 376480 in words is "three hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 181 208 260 362 416 520 724 905 1040 1448 1810 2080 2353 2896 3620 4706 5792 7240 9412 11765 14480 18824 23530 28960 37648 47060 75296 94120 188240 376480