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2320302992 = 247295871217
BaseRepresentation
bin1000101001001101…
…0000001110010000
312222201001121022212
42022103100032100
514222444143432
61022124051252
7111333151520
oct21223201620
95881047285
102320302992
11a90828a87
12549093b28
132ac933467
14180235680
15d8a822b2
hex8a4d0390

2320302992 has 80 divisors (see below), whose sum is σ = 5328408960. Its totient is φ = 957702144.

The previous prime is 2320302983. The next prime is 2320303001. The reversal of 2320302992 is 2992030232.

It is an interprime number because it is at equal distance from previous prime (2320302983) and next prime (2320303001).

It is a super-3 number, since 3×23203029923 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1905968 + ... + 1907184.

It is an arithmetic number, because the mean of its divisors is an integer number (66605112).

Almost surely, 22320302992 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 2320302992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664204480).

2320302992 is an abundant number, since it is smaller than the sum of its proper divisors (3008105968).

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

2320302992 is a wasteful number, since it uses less digits than its factorization.

2320302992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 2320302992 is about 48169.5234769870. The cubic root of 2320302992 is about 1323.8788174457.

The spelling of 2320302992 in words is "two billion, three hundred twenty million, three hundred two thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 587 812 1174 1217 1624 2348 2434 3248 4109 4696 4868 8218 8519 9392 9736 16436 17023 17038 19472 32872 34046 34076 35293 65744 68092 68152 70586 119161 136184 136304 141172 238322 247051 272368 282344 476644 494102 564688 714379 953288 988204 1428758 1906576 1976408 2857516 3952816 5000653 5715032 10001306 11430064 20002612 20716991 40005224 41433982 80010448 82867964 145018937 165735928 290037874 331471856 580075748 1160151496 2320302992