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3974256 = 24321113193
BaseRepresentation
bin1111001010010001110000
321110220122200
433022101300
52004134011
6221103200
745531516
oct17122160
97426580
103974256
112274a10
1213b7b00
13a91c40
147564b6
15537856
hex3ca470

3974256 has 120 divisors (see below), whose sum is σ = 13134576. Its totient is φ = 1105920.

The previous prime is 3974237. The next prime is 3974261. The reversal of 3974256 is 6524793.

3974256 = 253 + 263 + ... + 633.

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

It is a d-powerful number, because it can be written as 36 + 93 + 76 + 44 + 221 + 57 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 3974256.

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, 20496 + ... + 20688.

Almost surely, 23974256 is an apocalyptic number.

3974256 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 3974256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567288).

3974256 is an abundant number, since it is smaller than the sum of its proper divisors (9160320).

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

3974256 is a wasteful number, since it uses less digits than its factorization.

3974256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 222 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3974256 is about 1993.5536110173. The cubic root of 3974256 is about 158.3988215401.

The spelling of 3974256 in words is "three million, nine hundred seventy-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 193 198 208 234 264 286 312 386 396 429 468 528 572 579 624 772 792 858 936 1144 1158 1287 1544 1584 1716 1737 1872 2123 2288 2316 2509 2574 3088 3432 3474 4246 4632 5018 5148 6369 6864 6948 7527 8492 9264 10036 10296 12738 13896 15054 16984 19107 20072 20592 22581 25476 27599 27792 30108 33968 38214 40144 45162 50952 55198 60216 76428 82797 90324 101904 110396 120432 152856 165594 180648 220792 248391 305712 331188 361296 441584 496782 662376 993564 1324752 1987128 3974256