Search a number
-
+
381243510 = 23454331087
BaseRepresentation
bin10110101110010…
…101000001110110
3222120101011210000
4112232111001312
51240044243020
6101455212130
712306342054
oct2656250166
9876334700
10381243510
1118622498a
12a7817046
1360ca519b
14388c11d4
152370b090
hex16b95076

381243510 has 80 divisors (see below), whose sum is σ = 1028434176. Its totient is φ = 101336832.

The previous prime is 381243509. The next prime is 381243529. The reversal of 381243510 is 15342183.

It is a happy number.

It is a super-2 number, since 2×3812435102 = 290693227834240200, which contains 22 as substring.

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

It is a Curzon number.

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, 350187 + ... + 351273.

Almost surely, 2381243510 is an apocalyptic number.

381243510 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 381243510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514217088).

381243510 is an abundant number, since it is smaller than the sum of its proper divisors (647190666).

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

381243510 is a wasteful number, since it uses less digits than its factorization.

381243510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 381243510 is about 19525.4579971892. The cubic root of 381243510 is about 725.1048663214.

Adding to 381243510 its reverse (15342183), we get a palindrome (396585693).

The spelling of 381243510 in words is "three hundred eighty-one million, two hundred forty-three thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 433 810 866 1087 1299 2165 2174 2598 3261 3897 4330 5435 6495 6522 7794 9783 10870 11691 12990 16305 19485 19566 23382 29349 32610 35073 38970 48915 58455 58698 70146 88047 97830 116910 146745 175365 176094 293490 350730 440235 470671 880470 941342 1412013 2353355 2824026 4236039 4706710 7060065 8472078 12708117 14120130 21180195 25416234 38124351 42360390 63540585 76248702 127081170 190621755 381243510