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276334416 = 2434792699
BaseRepresentation
bin10000011110001…
…000011101010000
3201020222020120000
4100132020131100
51031220200131
643230450000
76563542461
oct2036103520
9636866500
10276334416
11131a90156
1278663900
13453330b7
14289b2d68
15193d6ce6
hex10788750

276334416 has 100 divisors (see below), whose sum is σ = 810216000. Its totient is φ = 90911808.

The previous prime is 276334411. The next prime is 276334433. The reversal of 276334416 is 614433672.

It is a happy number.

276334416 is a `hidden beast` number, since 2 + 7 + 633 + 4 + 4 + 16 = 666.

It is a super-2 number, since 2×2763344162 = 152721418932122112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276334411) 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, 101035 + ... + 103733.

It is an arithmetic number, because the mean of its divisors is an integer number (8102160).

Almost surely, 2276334416 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 276334416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405108000).

276334416 is an abundant number, since it is smaller than the sum of its proper divisors (533881584).

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

276334416 is a wasteful number, since it uses less digits than its factorization.

276334416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2783 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 276334416 is about 16623.3094178025. The cubic root of 276334416 is about 651.3458630649.

The spelling of 276334416 in words is "two hundred seventy-six million, three hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 316 324 432 474 632 648 711 948 1264 1296 1422 1896 2133 2699 2844 3792 4266 5398 5688 6399 8097 8532 10796 11376 12798 16194 17064 21592 24291 25596 32388 34128 43184 48582 51192 64776 72873 97164 102384 129552 145746 194328 213221 218619 291492 388656 426442 437238 582984 639663 852884 874476 1165968 1279326 1705768 1748952 1918989 2558652 3411536 3497904 3837978 5117304 5756967 7675956 10234608 11513934 15351912 17270901 23027868 30703824 34541802 46055736 69083604 92111472 138167208 276334416