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1320203444 = 227417914557
BaseRepresentation
bin100111010110000…
…1011010010110100
310102000012021122212
41032230023102310
510200433002234
6335000312552
744500354430
oct11654132264
93360167585
101320203444
1161824742a
1230a172758
1318068cb91
14c749d9c0
157ad815ce
hex4eb0b4b4

1320203444 has 48 divisors (see below), whose sum is σ = 2739233280. Its totient is φ = 544976640.

The previous prime is 1320203407. The next prime is 1320203449. The reversal of 1320203444 is 4443020231.

It is a super-2 number, since 2×13202034442 = 3485874267098922272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320203449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83414 + ... + 97970.

It is an arithmetic number, because the mean of its divisors is an integer number (57067360).

Almost surely, 21320203444 is an apocalyptic number.

1320203444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320203444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369616640).

1320203444 is an abundant number, since it is smaller than the sum of its proper divisors (1419029836).

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

1320203444 is a wasteful number, since it uses less digits than its factorization.

1320203444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14688 (or 14686 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 1320203444 is about 36334.6039472016. The cubic root of 1320203444 is about 1097.0176637018.

Adding to 1320203444 its reverse (4443020231), we get a palindrome (5763223675).

The spelling of 1320203444 in words is "one billion, three hundred twenty million, two hundred three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 41 79 82 158 164 287 316 553 574 1106 1148 2212 3239 6478 12956 14557 22673 29114 45346 58228 90692 101899 203798 407596 596837 1150003 1193674 2300006 2387348 4177859 4600012 8050021 8355718 16100042 16711436 32200084 47150123 94300246 188600492 330050861 660101722 1320203444