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276739668 = 223217412269
BaseRepresentation
bin10000011111101…
…011011001010100
3201021201211110100
4100133223121110
51031321132133
643243254100
76600151122
oct2037533124
9637654410
10276739668
11132237677
127881a330
13454456aa
1428a7a912
1519466e13
hex107eb654

276739668 has 108 divisors (see below), whose sum is σ = 762013980. Its totient is φ = 84387840.

The previous prime is 276739621. The next prime is 276739669. The reversal of 276739668 is 866937672.

It can be written as a sum of positive squares in 6 ways, for example, as 109244304 + 167495364 = 10452^2 + 12942^2 .

Its product of digits (4572288) is a multiple of the sum of its prime factors (378).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276739669) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1028638 + ... + 1028906.

It is an arithmetic number, because the mean of its divisors is an integer number (7055685).

Almost surely, 2276739668 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 276739668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381006990).

276739668 is an abundant number, since it is smaller than the sum of its proper divisors (485274312).

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

276739668 is a wasteful number, since it uses less digits than its factorization.

276739668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 332 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 276739668 is about 16635.4942216936. The cubic root of 276739668 is about 651.6641130656.

The spelling of 276739668 in words is "two hundred seventy-six million, seven hundred thirty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 269 306 369 492 538 612 697 738 807 1076 1394 1476 1614 1681 2091 2421 2788 3228 3362 4182 4573 4842 5043 6273 6724 8364 9146 9684 10086 11029 12546 13719 15129 18292 20172 22058 25092 27438 28577 30258 33087 41157 44116 54876 57154 60516 66174 82314 85731 99261 114308 132348 164628 171462 187493 198522 257193 342924 374986 397044 452189 514386 562479 749972 904378 1028772 1124958 1356567 1687437 1808756 2249916 2713134 3374874 4069701 5426268 6749748 7687213 8139402 15374426 16278804 23061639 30748852 46123278 69184917 92246556 138369834 276739668