Search a number
-
+
381361140 = 223255234051
BaseRepresentation
bin10110101110110…
…001101111110100
3222120121011010200
4112232301233310
51240112024030
6101501520500
712310342026
oct2656615764
9876534120
10381361140
111862a52a6
12a7873130
13610168a4
1438912016
1523730d60
hex16bb1bf4

381361140 has 72 divisors (see below), whose sum is σ = 1159293408. Its totient is φ = 101476800.

The previous prime is 381361139. The next prime is 381361159. The reversal of 381361140 is 41163183.

381361140 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 611 + 40 = 666.

381361140 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

381361140 is strictly pandigital in base 9.

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, 92115 + ... + 96165.

Almost surely, 2381361140 is an apocalyptic number.

381361140 is a gapful number since it is divisible by the number (30) 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 381361140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579646704).

381361140 is an abundant number, since it is smaller than the sum of its proper divisors (777932268).

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

381361140 is a wasteful number, since it uses less digits than its factorization.

381361140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 381361140 is about 19528.4699861510. The cubic root of 381361140 is about 725.1794339860.

It can be divided in two parts, 381361 and 140, that added together give a triangular number (381501 = T873).

The spelling of 381361140 in words is "three hundred eighty-one million, three hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 523 1046 1569 2092 2615 3138 4051 4707 5230 6276 7845 8102 9414 10460 12153 15690 16204 18828 20255 23535 24306 31380 36459 40510 47070 48612 60765 72918 81020 94140 121530 145836 182295 243060 364590 729180 2118673 4237346 6356019 8474692 10593365 12712038 19068057 21186730 25424076 31780095 38136114 42373460 63560190 76272228 95340285 127120380 190680570 381361140