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1238328 = 23357213
BaseRepresentation
bin100101110010100111000
32022220200000
410232110320
5304111303
642313000
713345200
oct4562470
92286600
101238328
11776413
124b8760
13344850
14243400
15196da3
hex12e538

1238328 has 144 divisors (see below), whose sum is σ = 4357080. Its totient is φ = 326592.

The previous prime is 1238327. The next prime is 1238333. The reversal of 1238328 is 8238321.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an Ulam number.

Its product of digits (2304) is a multiple of the sum of its prime factors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95250 + ... + 95262.

21238328 is an apocalyptic number.

1238328 is a gapful number since it is divisible by the number (18) 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 1238328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178540).

1238328 is an abundant number, since it is smaller than the sum of its proper divisors (3118752).

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

1238328 is a wasteful number, since it uses less digits than its factorization.

1238328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 25 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1238328 is about 1112.8018691573. The cubic root of 1238328 is about 107.3853979711.

The spelling of 1238328 in words is "one million, two hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 49 52 54 56 63 72 78 81 84 91 98 104 108 117 126 147 156 162 168 182 189 196 216 234 243 252 273 294 312 324 351 364 378 392 441 468 486 504 546 567 588 637 648 702 728 756 819 882 936 972 1053 1092 1134 1176 1274 1323 1404 1512 1638 1701 1764 1911 1944 2106 2184 2268 2457 2548 2646 2808 3159 3276 3402 3528 3822 3969 4212 4536 4914 5096 5292 5733 6318 6552 6804 7371 7644 7938 8424 9828 10584 11466 11907 12636 13608 14742 15288 15876 17199 19656 22113 22932 23814 25272 29484 31752 34398 44226 45864 47628 51597 58968 68796 88452 95256 103194 137592 154791 176904 206388 309582 412776 619164 1238328