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3894264 = 2333112149
BaseRepresentation
bin1110110110101111111000
321022211221000
432312233320
51444104024
6215245000
745046353
oct16665770
97284830
103894264
11221a900
121379760
13a646ca
1473529a
1551dcc9
hex3b6bf8

3894264 has 96 divisors (see below), whose sum is σ = 11970000. Its totient is φ = 1172160.

The previous prime is 3894239. The next prime is 3894269. The reversal of 3894264 is 4624983.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3894269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26062 + ... + 26210.

Almost surely, 23894264 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 3894264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985000).

3894264 is an abundant number, since it is smaller than the sum of its proper divisors (8075736).

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

3894264 is a wasteful number, since it uses less digits than its factorization.

3894264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3894264 is about 1973.3889631798. The cubic root of 3894264 is about 157.3288844540.

The spelling of 3894264 in words is "three million, eight hundred ninety-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 149 198 216 242 264 297 298 363 396 447 484 594 596 726 792 894 968 1089 1188 1192 1341 1452 1639 1788 2178 2376 2682 2904 3267 3278 3576 4023 4356 4917 5364 6534 6556 8046 8712 9834 10728 13068 13112 14751 16092 18029 19668 26136 29502 32184 36058 39336 44253 54087 59004 72116 88506 108174 118008 144232 162261 177012 216348 324522 354024 432696 486783 649044 973566 1298088 1947132 3894264