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381268132 = 227311014349
BaseRepresentation
bin10110101110011…
…011000010100100
3222120102102112221
4112232123002210
51240101040012
6101455522124
712306503620
oct2656330244
9876372487
10381268132
11186241433
12a7829344
1360cb345b
14388ca180
1523713507
hex16b9b0a4

381268132 has 48 divisors (see below), whose sum is σ = 795110400. Its totient is φ = 156528000.

The previous prime is 381268109. The next prime is 381268169. The reversal of 381268132 is 231862183.

It is a happy number.

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, 85494 + ... + 89842.

It is an arithmetic number, because the mean of its divisors is an integer number (16564800).

Almost surely, 2381268132 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 381268132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397555200).

381268132 is an abundant number, since it is smaller than the sum of its proper divisors (413842268).

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

381268132 is a wasteful number, since it uses less digits than its factorization.

381268132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 4490 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 381268132 is about 19526.0884971876. The cubic root of 381268132 is about 725.1204758965.

The spelling of 381268132 in words is "three hundred eighty-one million, two hundred sixty-eight thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 62 101 124 202 217 404 434 707 868 1414 2828 3131 4349 6262 8698 12524 17396 21917 30443 43834 60886 87668 121772 134819 269638 439249 539276 878498 943733 1756996 1887466 3074743 3774932 6149486 12298972 13616719 27233438 54466876 95317033 190634066 381268132