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2326920408 = 233211322531
BaseRepresentation
bin1000101010110001…
…1111110011011000
320000011111210201100
42022230133303120
514231142423113
61022521551400
7111443332341
oct21254376330
96004453640
102326920408
11a9453881a
1254b345560
132b110c4a7
141810790c8
15d943cd73
hex8ab1fcd8

2326920408 has 72 divisors (see below), whose sum is σ = 6360852420. Its totient is φ = 768472320.

The previous prime is 2326920391. The next prime is 2326920451. The reversal of 2326920408 is 8040296232.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 918103 + ... + 920633.

Almost surely, 22326920408 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 2326920408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180426210).

2326920408 is an abundant number, since it is smaller than the sum of its proper divisors (4033932012).

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

2326920408 is a wasteful number, since it uses less digits than its factorization.

2326920408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2326920408 is about 48238.1633978741. The cubic root of 2326920408 is about 1325.1361735921.

The spelling of 2326920408 in words is "two billion, three hundred twenty-six million, nine hundred twenty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2531 2712 4068 5062 7593 8136 10124 12769 15186 20248 22779 25538 30372 38307 45558 51076 60744 76614 91116 102152 114921 153228 182232 229842 286003 306456 459684 572006 858009 919368 1144012 1716018 2288024 2574027 3432036 5148054 6864072 10296108 20592216 32318339 64636678 96955017 129273356 193910034 258546712 290865051 387820068 581730102 775640136 1163460204 2326920408