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381253230 = 23451313593
BaseRepresentation
bin10110101110010…
…111011001101110
3222120101200010000
4112232113121232
51240100100410
6101455325130
712306412311
oct2656273156
9876350100
10381253230
11186231216
12a78207a6
1360ca9737
14388c4978
152370ddc0
hex16b9766e

381253230 has 80 divisors (see below), whose sum is σ = 1033260624. Its totient is φ = 100863360.

The previous prime is 381253199. The next prime is 381253253. The reversal of 381253230 is 32352183.

381253230 is a `hidden beast` number, since 381 + 2 + 53 + 230 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 381253194 and 381253203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104314 + ... + 107906.

Almost surely, 2381253230 is an apocalyptic number.

381253230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 381253230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516630312).

381253230 is an abundant number, since it is smaller than the sum of its proper divisors (652007394).

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

381253230 is a wasteful number, since it uses less digits than its factorization.

381253230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 381253230 is about 19525.7069014159. The cubic root of 381253230 is about 725.1110285766. Note that the first 3 decimals are identical.

The spelling of 381253230 in words is "three hundred eighty-one million, two hundred fifty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 131 135 162 262 270 393 405 655 786 810 1179 1310 1965 2358 3537 3593 3930 5895 7074 7186 10611 10779 11790 17685 17965 21222 21558 32337 35370 35930 53055 53895 64674 97011 106110 107790 161685 194022 291033 323370 470683 485055 582066 941366 970110 1412049 1455165 2353415 2824098 2910330 4236147 4706830 7060245 8472294 12708441 14120490 21180735 25416882 38125323 42361470 63542205 76250646 127084410 190626615 381253230