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3681264 = 243271283
BaseRepresentation
bin1110000010101111110000
320221000202010
432002233300
51420300024
6210522520
743201356
oct16025760
96830663
103681264
112094874
121296440
139bb782
146bb7d6
154cab29
hex382bf0

3681264 has 40 divisors (see below), whose sum is σ = 9578752. Its totient is φ = 1218240.

The previous prime is 3681253. The next prime is 3681277. The reversal of 3681264 is 4621863.

3681264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12867 + ... + 13149.

Almost surely, 23681264 is an apocalyptic number.

It is an amenable number.

3681264 is an abundant number, since it is smaller than the sum of its proper divisors (5897488).

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

3681264 is a wasteful number, since it uses less digits than its factorization.

3681264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 3681264 is about 1918.6620338142. The cubic root of 3681264 is about 154.4065269687.

The spelling of 3681264 in words is "three million, six hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 271 283 542 566 813 849 1084 1132 1626 1698 2168 2264 3252 3396 4336 4528 6504 6792 13008 13584 76693 153386 230079 306772 460158 613544 920316 1227088 1840632 3681264