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381427128 = 2332191032707
BaseRepresentation
bin10110101111000…
…001110110111000
3222120201111122200
4112233001312320
51240121132003
6101503150200
712311035305
oct2657016670
9876644580
10381427128
1118633a935
12a78a5360
136103a934
143892c0ac
15237456a3
hex16bc1db8

381427128 has 96 divisors (see below), whose sum is σ = 1098364800. Its totient is φ = 119237184.

The previous prime is 381427127. The next prime is 381427129. The reversal of 381427128 is 821724183.

381427128 is a `hidden beast` number, since 381 + 4 + 271 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (381427127) and next prime (381427129).

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

It is a junction number, because it is equal to n+sod(n) for n = 381427092 and 381427101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381427127) 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, 139551 + ... + 142257.

It is an arithmetic number, because the mean of its divisors is an integer number (11441300).

Almost surely, 2381427128 is an apocalyptic number.

381427128 is a gapful number since it is divisible by the number (38) 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 381427128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549182400).

381427128 is an abundant number, since it is smaller than the sum of its proper divisors (716937672).

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

381427128 is a wasteful number, since it uses less digits than its factorization.

381427128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2834 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 381427128 is about 19530.1594463537. The cubic root of 381427128 is about 725.2212581921.

The spelling of 381427128 in words is "three hundred eighty-one million, four hundred twenty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 103 114 152 171 206 228 309 342 412 456 618 684 824 927 1236 1368 1854 1957 2472 2707 3708 3914 5414 5871 7416 7828 8121 10828 11742 15656 16242 17613 21656 23484 24363 32484 35226 46968 48726 51433 64968 70452 97452 102866 140904 154299 194904 205732 278821 308598 411464 462897 557642 617196 836463 925794 1115284 1234392 1672926 1851588 2230568 2509389 3345852 3703176 5018778 5297599 6691704 10037556 10595198 15892797 20075112 21190396 31785594 42380792 47678391 63571188 95356782 127142376 190713564 381427128