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276849342 = 2327111910513
BaseRepresentation
bin10000100000000…
…110001010111110
3201021221101220100
4100200012022332
51031333134332
643245501530
76601115640
oct2040061276
9637841810
10276849342
11132302010
12788718a6
13454835a3
1428aa8890
151948967c
hex108062be

276849342 has 96 divisors (see below), whose sum is σ = 787288320. Its totient is φ = 68117760.

The previous prime is 276849329. The next prime is 276849347. The reversal of 276849342 is 243948672.

276849342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276849347) 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 47 ways as a sum of consecutive naturals, for example, 21078 + ... + 31590.

It is an arithmetic number, because the mean of its divisors is an integer number (8200920).

Almost surely, 2276849342 is an apocalyptic number.

276849342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 276849342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393644160).

276849342 is an abundant number, since it is smaller than the sum of its proper divisors (510438978).

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

276849342 is a wasteful number, since it uses less digits than its factorization.

276849342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10558 (or 10555 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 276849342 is about 16638.7902805462. The cubic root of 276849342 is about 651.7501881497.

The spelling of 276849342 in words is "two hundred seventy-six million, eight hundred forty-nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 798 1197 1254 1386 1463 1881 2394 2926 3762 4389 8778 10513 13167 21026 26334 31539 63078 73591 94617 115643 147182 189234 199747 220773 231286 346929 399494 441546 599241 662319 693858 809501 1040787 1198482 1324638 1398229 1619002 1797723 2081574 2197217 2428503 2796458 3595446 4194687 4394434 4857006 6591651 7285509 8389374 12584061 13183302 14571018 15380519 19774953 25168122 30761038 39549906 46141557 92283114 138424671 276849342