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2028312 = 23321113197
BaseRepresentation
bin111101111001100011000
310211001022200
413233030120
51004401222
6111250200
723145306
oct7571430
93731280
102028312
1111659a0
12819960
135602b0
143ab276
152a0eac
hex1ef318

2028312 has 96 divisors (see below), whose sum is σ = 6486480. Its totient is φ = 564480.

The previous prime is 2028293. The next prime is 2028319. The reversal of 2028312 is 2138202.

It is a happy number.

It is a super-2 number, since 2×20283122 = 8228099138688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028319) 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, 10198 + ... + 10394.

22028312 is an apocalyptic number.

2028312 is a gapful number since it is divisible by the number (22) 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 2028312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243240).

2028312 is an abundant number, since it is smaller than the sum of its proper divisors (4458168).

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

2028312 is a wasteful number, since it uses less digits than its factorization.

2028312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2028312 is about 1424.1881898120. The cubic root of 2028312 is about 126.5838362748.

The spelling of 2028312 in words is "two million, twenty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 197 198 234 264 286 312 394 396 429 468 572 591 788 792 858 936 1144 1182 1287 1576 1716 1773 2167 2364 2561 2574 3432 3546 4334 4728 5122 5148 6501 7092 7683 8668 10244 10296 13002 14184 15366 17336 19503 20488 23049 26004 28171 30732 39006 46098 52008 56342 61464 78012 84513 92196 112684 156024 169026 184392 225368 253539 338052 507078 676104 1014156 2028312