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274046864 = 24713375087
BaseRepresentation
bin10000010101011…
…001111110010000
3201002200000121212
4100111121332100
51030123444424
643105435252
76535234310
oct2025317620
9632600555
10274046864
11130768513
127793bb28
1344a11b10
1428579440
15190d410e
hex10559f90

274046864 has 80 divisors (see below), whose sum is σ = 671290368. Its totient is φ = 105463296.

The previous prime is 274046849. The next prime is 274046867. The reversal of 274046864 is 468640472.

It is not an unprimeable number, because it can be changed into a prime (274046867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51329 + ... + 56415.

Almost surely, 2274046864 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 274046864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335645184).

274046864 is an abundant number, since it is smaller than the sum of its proper divisors (397243504).

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

274046864 is a wasteful number, since it uses less digits than its factorization.

274046864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The square root of 274046864 is about 16554.3608756122. The cubic root of 274046864 is about 649.5435564740.

The spelling of 274046864 in words is "two hundred seventy-four million, forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 52 56 74 91 104 112 148 182 208 259 296 364 481 518 592 728 962 1036 1456 1924 2072 3367 3848 4144 5087 6734 7696 10174 13468 20348 26936 35609 40696 53872 66131 71218 81392 132262 142436 188219 264524 284872 376438 462917 529048 569744 752876 925834 1058096 1317533 1505752 1851668 2446847 2635066 3011504 3703336 4893694 5270132 7406672 9787388 10540264 17127929 19574776 21080528 34255858 39149552 68511716 137023432 274046864