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381804012 = 2232192272459
BaseRepresentation
bin10110110000011…
…101110111101100
3222121102122122100
4112300131313230
51240220212022
6101515215100
712314165142
oct2660356754
9877378570
10381804012
11186578007
12a7a47490
1361140345
14389c9592
15237bc1ac
hex16c1ddec

381804012 has 72 divisors (see below), whose sum is σ = 1020801600. Its totient is φ = 119989728.

The previous prime is 381804011. The next prime is 381804023. The reversal of 381804012 is 210408183.

It is a super-2 number, since 2×3818040122 = 291548607158592288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (381804011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154039 + ... + 156497.

It is an arithmetic number, because the mean of its divisors is an integer number (14177800).

Almost surely, 2381804012 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 381804012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510400800).

381804012 is an abundant number, since it is smaller than the sum of its proper divisors (638997588).

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

381804012 is a wasteful number, since it uses less digits than its factorization.

381804012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 381804012 is about 19539.8058332216. The cubic root of 381804012 is about 725.4600406445.

It can be divided in two parts, 38 and 1804012, that added together give a triangular number (1804050 = T1899).

The spelling of 381804012 in words is "three hundred eighty-one million, eight hundred four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 227 228 342 454 681 684 908 1362 2043 2459 2724 4086 4313 4918 7377 8172 8626 9836 12939 14754 17252 22131 25878 29508 38817 44262 46721 51756 77634 88524 93442 140163 155268 186884 280326 420489 558193 560652 840978 1116386 1674579 1681956 2232772 3349158 5023737 6698316 10047474 10605667 20094948 21211334 31817001 42422668 63634002 95451003 127268004 190902006 381804012