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381398380 = 225113075647
BaseRepresentation
bin10110101110111…
…010110101101100
3222120200001012221
4112232322311230
51240114222010
6101502405124
712310555426
oct2656726554
9876601187
10381398380
11186320280
12a78907a4
136102a81c
1438921816
152373bdda
hex16bbad6c

381398380 has 48 divisors (see below), whose sum is σ = 876750336. Its totient is φ = 138214080.

The previous prime is 381398377. The next prime is 381398431. The reversal of 381398380 is 83893183.

It is a happy number.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64717 + ... + 70363.

It is an arithmetic number, because the mean of its divisors is an integer number (18265632).

Almost surely, 2381398380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381398380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438375168).

381398380 is an abundant number, since it is smaller than the sum of its proper divisors (495351956).

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

381398380 is a wasteful number, since it uses less digits than its factorization.

381398380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5974 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 381398380 is about 19529.4234425904. The cubic root of 381398380 is about 725.2030378620.

The spelling of 381398380 in words is "three hundred eighty-one million, three hundred ninety-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 307 614 1228 1535 3070 3377 5647 6140 6754 11294 13508 16885 22588 28235 33770 56470 62117 67540 112940 124234 248468 310585 621170 1242340 1733629 3467258 6934516 8668145 17336290 19069919 34672580 38139838 76279676 95349595 190699190 381398380