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2323314624 = 26323515147
BaseRepresentation
bin1000101001111010…
…1111011111000000
312222220201121111210
42022132233133000
514224232031444
61022312410120
7111400564011
oct21236573700
95886647453
102323314624
11a924a5734
1254a0a6940
132b04491a7
141807bb008
15d8e797b9
hex8a7af7c0

2323314624 has 56 divisors (see below), whose sum is σ = 6150912768. Its totient is φ = 773958400.

The previous prime is 2323314607. The next prime is 2323314667. The reversal of 2323314624 is 4264133232.

It is a super-2 number, since 2×23233146242 = 10795581684184522752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2323314591 and 2323314600.

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 7 ways as a sum of consecutive naturals, for example, 448819 + ... + 453965.

It is an arithmetic number, because the mean of its divisors is an integer number (109837728).

Almost surely, 22323314624 is an apocalyptic number.

2323314624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2323314624 is an abundant number, since it is smaller than the sum of its proper divisors (3827598144).

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

2323314624 is a wasteful number, since it uses less digits than its factorization.

2323314624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513 (or 7503 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 2323314624 is about 48200.7741016677. The cubic root of 2323314624 is about 1324.4513449819.

Adding to 2323314624 its reverse (4264133232), we get a palindrome (6587447856).

The spelling of 2323314624 in words is "two billion, three hundred twenty-three million, three hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2351 4702 5147 7053 9404 10294 14106 15441 18808 20588 28212 30882 37616 41176 56424 61764 75232 82352 112848 123528 150464 164704 225696 247056 329408 451392 494112 988224 12100597 24201194 36301791 48402388 72603582 96804776 145207164 193609552 290414328 387219104 580828656 774438208 1161657312 2323314624