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380658852 = 22347223977
BaseRepresentation
bin10110101100000…
…110010010100100
3222112021110210000
4112230012102210
51234422040402
6101434501300
712301355400
oct2654062244
9875243700
10380658852
111859656a2
12a7594830
1360b2c032
14387ac100
1523642c1c
hex16b064a4

380658852 has 90 divisors (see below), whose sum is σ = 1157633862. Its totient is φ = 108755136.

The previous prime is 380658841. The next prime is 380658899. The reversal of 380658852 is 258856083.

It is a happy number.

380658852 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 315630756 + 65028096 = 17766^2 + 8064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 380658798 and 380658807.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3888 + ... + 27864.

Almost surely, 2380658852 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 380658852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578816931).

380658852 is an abundant number, since it is smaller than the sum of its proper divisors (776975010).

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

380658852 is a wasteful number, since it uses less digits than its factorization.

380658852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24007 (or 23989 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 380658852 is about 19510.4805681459. The cubic root of 380658852 is about 724.7340138823.

The spelling of 380658852 in words is "three hundred eighty million, six hundred fifty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 23977 47954 71931 95908 143862 167839 215793 287724 335678 431586 503517 647379 671356 863172 1007034 1174873 1294758 1510551 1942137 2014068 2349746 2589516 3021102 3524619 3884274 4531653 4699492 6042204 7049238 7768548 9063306 10573857 13594959 14098476 18126612 21147714 27189918 31721571 42295428 54379836 63443142 95164713 126886284 190329426 380658852