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3867264 = 2734373
BaseRepresentation
bin1110110000001010000000
321021110220000
432300022000
51442223024
6214520000
744604552
oct16601200
97243800
103867264
112201595
121366000
13a5532b
147294d2
15515cc9
hex3b0280

3867264 has 80 divisors (see below), whose sum is σ = 11539770. Its totient is φ = 1285632.

The previous prime is 3867263. The next prime is 3867271. The reversal of 3867264 is 4627683.

It can be written as a sum of positive squares in only one way, i.e., 3240000 + 627264 = 1800^2 + 792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (48384) is a multiple of the sum of its prime divisors (378).

It is not an unprimeable number, because it can be changed into a prime (3867263) 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 9 ways as a sum of consecutive naturals, for example, 10182 + ... + 10554.

Almost surely, 23867264 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 3867264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769885).

3867264 is an abundant number, since it is smaller than the sum of its proper divisors (7672506).

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

3867264 is an equidigital number, since it uses as much as digits as its factorization.

3867264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 378 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3867264 is about 1966.5360408597. The cubic root of 3867264 is about 156.9644394558.

The spelling of 3867264 in words is "three million, eight hundred sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 373 384 432 576 648 746 864 1119 1152 1296 1492 1728 2238 2592 2984 3357 3456 4476 5184 5968 6714 8952 10071 10368 11936 13428 17904 20142 23872 26856 30213 35808 40284 47744 53712 60426 71616 80568 107424 120852 143232 161136 214848 241704 322272 429696 483408 644544 966816 1289088 1933632 3867264