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2276530344 = 23321124111927
BaseRepresentation
bin1000011110110001…
…0001100010101000
312212122200201112200
42013230101202220
514130242432334
61013521540200
7110262121464
oct20754214250
95778621480
102276530344
11a69050a40
125364a4660
132a384869a
141784bd4a4
15d4cd7799
hex87b118a8

2276530344 has 96 divisors (see below), whose sum is σ = 6754587840. Its totient is φ = 686937600.

The previous prime is 2276530313. The next prime is 2276530357. The reversal of 2276530344 is 4430356722.

2276530344 is a `hidden beast` number, since 22 + 76 + 530 + 34 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2276530299 and 2276530308.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 184909 + ... + 196835.

It is an arithmetic number, because the mean of its divisors is an integer number (70360290).

Almost surely, 22276530344 is an apocalyptic number.

2276530344 is a gapful number since it is divisible by the number (24) 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 2276530344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377293920).

2276530344 is an abundant number, since it is smaller than the sum of its proper divisors (4478057496).

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

2276530344 is a wasteful number, since it uses less digits than its factorization.

2276530344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12191 (or 12184 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 2276530344 is about 47712.9997380169. Note that the first 3 decimals coincide. The cubic root of 2276530344 is about 1315.5008947344.

The spelling of 2276530344 in words is "two billion, two hundred seventy-six million, five hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 241 264 396 482 723 792 964 1446 1928 2169 2651 2892 4338 5302 5784 7953 8676 10604 11927 15906 17352 21208 23854 23859 31812 35781 47708 47718 63624 71562 95416 95436 107343 131197 143124 190872 214686 262394 286248 393591 429372 524788 787182 858744 1049576 1180773 1574364 2361546 2874407 3148728 4723092 5748814 8623221 9446184 11497628 17246442 22995256 25869663 31618477 34492884 51739326 63236954 68985768 94855431 103478652 126473908 189710862 206957304 252947816 284566293 379421724 569132586 758843448 1138265172 2276530344