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381203424 = 253271731093
BaseRepresentation
bin10110101110001…
…011001111100000
3222120022010210100
4112232023033200
51240042002144
6101454302400
712306114150
oct2656131740
9876263710
10381203424
111861a7858
12a77b7a00
1360c8cb74
14388b0760
15236ee269
hex16b8b3e0

381203424 has 144 divisors (see below), whose sum is σ = 1247212512. Its totient is φ = 108186624.

The previous prime is 381203419. The next prime is 381203447. The reversal of 381203424 is 424302183.

381203424 is a `hidden beast` number, since 38 + 1 + 203 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 348222 + ... + 349314.

It is an arithmetic number, because the mean of its divisors is an integer number (8661198).

Almost surely, 2381203424 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 381203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623606256).

381203424 is an abundant number, since it is smaller than the sum of its proper divisors (866009088).

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

381203424 is a wasteful number, since it uses less digits than its factorization.

381203424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 381203424 is about 19524.4314641938. The cubic root of 381203424 is about 725.0794516177.

The spelling of 381203424 in words is "three hundred eighty-one million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 173 224 252 288 336 346 504 519 672 692 1008 1038 1093 1211 1384 1557 2016 2076 2186 2422 2768 3114 3279 3633 4152 4372 4844 5536 6228 6558 7266 7651 8304 8744 9688 9837 10899 12456 13116 14532 15302 16608 17488 19376 19674 21798 22953 24912 26232 29064 30604 34976 38752 39348 43596 45906 49824 52464 58128 61208 68859 78696 87192 91812 104928 116256 122416 137718 157392 174384 183624 189089 244832 275436 314784 348768 367248 378178 550872 567267 734496 756356 1101744 1134534 1323623 1512712 1701801 2203488 2269068 2647246 3025424 3403602 3970869 4538136 5294492 6050848 6807204 7941738 9076272 10588984 11912607 13614408 15883476 18152544 21177968 23825214 27228816 31766952 42355936 47650428 54457632 63533904 95300856 127067808 190601712 381203424