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2320681752 = 233433710627
BaseRepresentation
bin1000101001010010…
…1100101100011000
312222201202211220000
42022110230230120
514223043304002
61022140133000
7111336320004
oct21224545430
95881684800
102320681752
11a90a67604
12549237160
132aca3698c
141802d3704
15d8b0961c
hex8a52cb18

2320681752 has 80 divisors (see below), whose sum is σ = 6519959160. Its totient is φ = 771192576.

The previous prime is 2320681723. The next prime is 2320681757. The reversal of 2320681752 is 2571860232.

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 (2320681757) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 213063 + ... + 223689.

Almost surely, 22320681752 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 2320681752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259979580).

2320681752 is an abundant number, since it is smaller than the sum of its proper divisors (4199277408).

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

2320681752 is a wasteful number, since it uses less digits than its factorization.

2320681752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10982 (or 10969 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2320681752 is about 48173.4548480800. The cubic root of 2320681752 is about 1323.9508489952.

The spelling of 2320681752 in words is "two billion, three hundred twenty million, six hundred eighty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 337 648 674 1011 1348 2022 2696 3033 4044 6066 8088 9099 10627 12132 18198 21254 24264 27297 31881 36396 42508 54594 63762 72792 85016 95643 109188 127524 191286 218376 255048 286929 382572 573858 765144 860787 1147716 1721574 2295432 3443148 3581299 6886296 7162598 10743897 14325196 21487794 28650392 32231691 42975588 64463382 85951176 96695073 128926764 193390146 257853528 290085219 386780292 580170438 773560584 1160340876 2320681752