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2323277064 = 2332371038467
BaseRepresentation
bin1000101001111010…
…0110010100001000
312222220122200222200
42022132212110020
514224224331224
61022311520200
7111400346343
oct21236462410
95886580880
102323277064
11a9247a499
1254a089060
132b0435074
141807ab45a
15d8e6d5c9
hex8a7a6508

2323277064 has 96 divisors (see below), whose sum is σ = 6525779520. Its totient is φ = 746091648.

The previous prime is 2323277053. The next prime is 2323277083. The reversal of 2323277064 is 4607723232.

2323277064 is a `hidden beast` number, since 2 + 323 + 277 + 0 + 64 = 666.

It is a super-2 number, since 2×23232770642 = 10795232632216920192, which contains 22 as substring.

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

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, 270159 + ... + 278625.

It is an arithmetic number, because the mean of its divisors is an integer number (67976870).

Almost surely, 22323277064 is an apocalyptic number.

2323277064 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 2323277064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262889760).

2323277064 is an abundant number, since it is smaller than the sum of its proper divisors (4202502456).

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

2323277064 is a wasteful number, since it uses less digits than its factorization.

2323277064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8619 (or 8612 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 2323277064 is about 48200.3844797943. The cubic root of 2323277064 is about 1324.4442076704. Note that the first 3 decimals are identical.

The spelling of 2323277064 in words is "two billion, three hundred twenty-three million, two hundred seventy-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 103 111 148 206 222 296 309 333 412 444 618 666 824 888 927 1236 1332 1854 2472 2664 3708 3811 7416 7622 8467 11433 15244 16934 22866 25401 30488 33868 34299 45732 50802 67736 68598 76203 91464 101604 137196 152406 203208 274392 304812 313279 609624 626558 872101 939837 1253116 1744202 1879674 2506232 2616303 2819511 3488404 3759348 5232606 5639022 6976808 7518696 7848909 10465212 11278044 15697818 20930424 22556088 31395636 32267737 62791272 64535474 96803211 129070948 193606422 258141896 290409633 387212844 580819266 774425688 1161638532 2323277064