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379728648 = 23341345077
BaseRepresentation
bin10110101000100…
…011001100001000
3222110112012210000
4112220203030020
51234202304043
6101402523000
712260432415
oct2650431410
9873465700
10379728648
1118538a832
12a7206460
1360894810
143860910c
152350c2d3
hex16a23308

379728648 has 80 divisors (see below), whose sum is σ = 1145431980. Its totient is φ = 116836992.

The previous prime is 379728647. The next prime is 379728649. The reversal of 379728648 is 846827973.

379728648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (379728647) and next prime (379728649).

It can be written as a sum of positive squares in 2 ways, for example, as 370254564 + 9474084 = 19242^2 + 3078^2 .

It is a super-2 number, since 2×3797286482 = 288387692223815808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 379728594 and 379728603.

It is not an unprimeable number, because it can be changed into a prime (379728647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14115 + ... + 30962.

Almost surely, 2379728648 is an apocalyptic number.

It is an amenable number.

379728648 is an abundant number, since it is smaller than the sum of its proper divisors (765703332).

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

379728648 is a wasteful number, since it uses less digits than its factorization.

379728648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45108 (or 45095 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 379728648 is about 19486.6274147170. The cubic root of 379728648 is about 724.1431958351.

The spelling of 379728648 in words is "three hundred seventy-nine million, seven hundred twenty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 45077 90154 135231 180308 270462 360616 405693 540924 586001 811386 1081848 1172002 1217079 1622772 1758003 2344004 2434158 3245544 3516006 3651237 4688008 4868316 5274009 7032012 7302474 9736632 10548018 14064024 14604948 15822027 21096036 29209896 31644054 42192072 47466081 63288108 94932162 126576216 189864324 379728648