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380469078 = 2321117261109
BaseRepresentation
bin10110101011010…
…111111101010110
3222111220211110100
4112223113331112
51234400002303
6101430434530
712266635203
oct2653277526
9874824410
10380469078
11185846060
12a7502a46
1360a93842
143875ccaa
15236068a3
hex16ad7f56

380469078 has 144 divisors (see below), whose sum is σ = 979870320. Its totient is φ = 105753600.

The previous prime is 380469077. The next prime is 380469101. The reversal of 380469078 is 870964083.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380469077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3490488 + ... + 3490596.

It is an arithmetic number, because the mean of its divisors is an integer number (6804655).

Almost surely, 2380469078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380469078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489935160).

380469078 is an abundant number, since it is smaller than the sum of its proper divisors (599401242).

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

380469078 is a wasteful number, since it uses less digits than its factorization.

380469078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 380469078 is about 19505.6165757456. The cubic root of 380469078 is about 724.6135573509.

The spelling of 380469078 in words is "three hundred eighty million, four hundred sixty-nine thousand, seventy-eight".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 61 66 99 102 109 122 153 183 187 198 218 289 306 327 366 374 549 561 578 654 671 867 981 1037 1098 1122 1199 1342 1683 1734 1853 1962 2013 2074 2398 2601 3111 3179 3366 3597 3706 4026 5202 5559 6039 6222 6358 6649 7194 9333 9537 10791 11118 11407 12078 13298 16677 17629 18666 19074 19947 20383 21582 22814 28611 31501 33354 34221 35258 39894 40766 52887 57222 59841 61149 63002 68442 73139 94503 102663 105774 113033 119682 122298 146278 158661 183447 189006 193919 205326 219417 226066 283509 317322 339099 346511 366894 387838 438834 567018 581757 658251 678198 693022 1017297 1039533 1163514 1243363 1316502 1745271 1921561 2034594 2079066 2486726 3118599 3490542 3730089 3843122 5764683 6237198 7460178 11190267 11529366 17294049 21137171 22380534 34588098 42274342 63411513 126823026 190234539 380469078