Search a number
-
+
381726930 = 235131675861
BaseRepresentation
bin10110110000001…
…011000011010010
3222121021201220110
4112300023003102
51240210230210
6101513422150
712313424334
oct2660130322
9877251813
10381726930
11186525102
12a7a0a956
1361114230
14389a9454
15237a4420
hex16c0b0d2

381726930 has 64 divisors (see below), whose sum is σ = 992694528. Its totient is φ = 93384960.

The previous prime is 381726899. The next prime is 381726937. The reversal of 381726930 is 39627183.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (381726937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62200 + ... + 68060.

It is an arithmetic number, because the mean of its divisors is an integer number (15510852).

Almost surely, 2381726930 is an apocalyptic number.

381726930 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 381726930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496347264).

381726930 is an abundant number, since it is smaller than the sum of its proper divisors (610967598).

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

381726930 is a wasteful number, since it uses less digits than its factorization.

381726930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6051.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 381726930 is about 19537.8332985006. The cubic root of 381726930 is about 725.4112165771.

The spelling of 381726930 in words is "three hundred eighty-one million, seven hundred twenty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 167 195 334 390 501 835 1002 1670 2171 2505 4342 5010 5861 6513 10855 11722 13026 17583 21710 29305 32565 35166 58610 65130 76193 87915 152386 175830 228579 380965 457158 761930 978787 1142895 1957574 2285790 2936361 4893935 5872722 9787870 12724231 14681805 25448462 29363610 38172693 63621155 76345386 127242310 190863465 381726930