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386417668 = 227131959947
BaseRepresentation
bin10111000010000…
…100010000000100
3222221010001101111
4113002010100010
51242410331133
6102202134404
712401332060
oct2702042004
9887101344
10386417668
1118913934a
12a94b1404
1362097310
143946aaa0
1523dce1cd
hex17084404

386417668 has 96 divisors (see below), whose sum is σ = 891878400. Its totient is φ = 142217856.

The previous prime is 386417653. The next prime is 386417671. The reversal of 386417668 is 866714683.

It is a super-2 number, since 2×3864176682 = 298637228285116448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407571 + ... + 408517.

It is an arithmetic number, because the mean of its divisors is an integer number (9290400).

Almost surely, 2386417668 is an apocalyptic number.

386417668 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386417668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445939200).

386417668 is an abundant number, since it is smaller than the sum of its proper divisors (505460732).

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

386417668 is a wasteful number, since it uses less digits than its factorization.

386417668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1047 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 49.

The square root of 386417668 is about 19657.5092013205. The cubic root of 386417668 is about 728.3704616322.

The spelling of 386417668 in words is "three hundred eighty-six million, four hundred seventeen thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 59 76 91 118 133 182 236 247 266 364 413 494 532 767 826 947 988 1121 1534 1652 1729 1894 2242 3068 3458 3788 4484 5369 6629 6916 7847 10738 12311 13258 14573 15694 17993 21476 24622 26516 29146 31388 35986 49244 55873 58292 71972 86177 102011 111746 125951 172354 204022 223492 233909 251902 344708 391111 408044 467818 503804 726349 782222 935636 1061587 1452698 1564444 1637363 2123174 2905396 3274726 4246348 5084443 6549452 7431109 10168886 13800631 14862218 20337772 27601262 29724436 55202524 96604417 193208834 386417668