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2321413444 = 2271771149461
BaseRepresentation
bin1000101001011101…
…1111010101000100
312222210011000120201
42022113133111010
514223240212234
61022203540244
7111345455140
oct21227372504
95883130521
102321413444
11a91417309
1254952a684
132acc31a2c
14180444220
15d8c01314
hex8a5df544

2321413444 has 96 divisors (see below), whose sum is σ = 5029516800. Its totient is φ = 914995200.

The previous prime is 2321413361. The next prime is 2321413459. The reversal of 2321413444 is 4443141232.

2321413444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23214134442 = 10777920755967882272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5035374 + ... + 5035834.

It is an arithmetic number, because the mean of its divisors is an integer number (52390800).

Almost surely, 22321413444 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 2321413444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514758400).

2321413444 is an abundant number, since it is smaller than the sum of its proper divisors (2708103356).

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

2321413444 is a wasteful number, since it uses less digits than its factorization.

2321413444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 707 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 2321413444 is about 48181.0485979706. The cubic root of 2321413444 is about 1324.0899780035.

Adding to 2321413444 its reverse (4443141232), we get a palindrome (6764554676).

The spelling of 2321413444 in words is "two billion, three hundred twenty-one million, four hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 71 119 142 149 238 284 298 461 476 497 596 922 994 1043 1207 1844 1988 2086 2414 2533 3227 4172 4828 5066 6454 7837 8449 10132 10579 12908 15674 16898 17731 21158 31348 32731 33796 35462 42316 54859 65462 68689 70924 74053 109718 130924 137378 148106 179843 219436 229117 274756 296212 359686 458234 480823 556427 719372 916468 961646 1112854 1167713 1258901 1923292 2225708 2335426 2517802 3894989 4670852 4876919 5035604 7789978 8173991 9753838 15579956 16347982 19507676 32695964 34138433 68276866 82907623 136553732 165815246 331630492 580353361 1160706722 2321413444