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3864276 = 22321323359
BaseRepresentation
bin1110101111011011010100
321021022210100
432233123110
51442124101
6214454100
744563053
oct16573324
97238710
103864276
1121aa319
121364330
13a53b70
1472839a
15514e86
hex3af6d4

3864276 has 72 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 1134144.

The previous prime is 3864269. The next prime is 3864307. The reversal of 3864276 is 6724683.

3864276 is a `hidden beast` number, since 3 + 8 + 642 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3864276.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10585 + ... + 10943.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 23864276 is an apocalyptic number.

3864276 is a gapful number since it is divisible by the number (36) 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 3864276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3864276 is an abundant number, since it is smaller than the sum of its proper divisors (7143084).

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

3864276 is a wasteful number, since it uses less digits than its factorization.

3864276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

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

The square root of 3864276 is about 1965.7761825803. The cubic root of 3864276 is about 156.9240034104.

The spelling of 3864276 in words is "three million, eight hundred sixty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 359 414 468 598 718 828 897 1077 1196 1436 1794 2154 2691 3231 3588 4308 4667 5382 6462 8257 9334 10764 12924 14001 16514 18668 24771 28002 33028 42003 49542 56004 74313 84006 99084 107341 148626 168012 214682 297252 322023 429364 644046 966069 1288092 1932138 3864276