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3676480 = 26511489
BaseRepresentation
bin1110000001100101000000
320220210011221
432001211000
51420121410
6210444424
743151413
oct16014500
96823157
103676480
112091215
121293714
139b9542
146b9b7a
154c94da
hex381940

3676480 has 28 divisors (see below), whose sum is σ = 8755380. Its totient is φ = 1470464.

The previous prime is 3676459. The next prime is 3676489. The reversal of 3676480 is 846763.

It can be written as a sum of positive squares in 2 ways, for example, as 1065024 + 2611456 = 1032^2 + 1616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3676489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5425 + ... + 6064.

Almost surely, 23676480 is an apocalyptic number.

It is an amenable number.

3676480 is an abundant number, since it is smaller than the sum of its proper divisors (5078900).

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

3676480 is a wasteful number, since it uses less digits than its factorization.

3676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11506 (or 11496 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 3676480 is about 1917.4149264048. The cubic root of 3676480 is about 154.3396114526.

The spelling of 3676480 in words is "three million, six hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 11489 22978 45956 57445 91912 114890 183824 229780 367648 459560 735296 919120 1838240 3676480