Search a number
-
+
1332433144 = 23753716323
BaseRepresentation
bin100111101101011…
…0101000011111000
310102212012121122201
41033122311003320
510212100330034
6340114355544
745006331510
oct11732650370
93385177581
101332433144
1162413a819
1231228bbb4
131830825a3
14c8d64840
157be9a014
hex4f6b50f8

1332433144 has 64 divisors (see below), whose sum is σ = 2950525440. Its totient is φ = 552289920.

The previous prime is 1332433133. The next prime is 1332433147. The reversal of 1332433144 is 4413342331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332433147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 207567 + ... + 213889.

It is an arithmetic number, because the mean of its divisors is an integer number (46101960).

Almost surely, 21332433144 is an apocalyptic number.

1332433144 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 1332433144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475262720).

1332433144 is an abundant number, since it is smaller than the sum of its proper divisors (1618092296).

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

1332433144 is a wasteful number, since it uses less digits than its factorization.

1332433144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6456 counting only the distinct ones).

The product of its digits is 10368, while the sum is 28.

The square root of 1332433144 is about 36502.5087357020. The cubic root of 1332433144 is about 1100.3946638931.

Adding to 1332433144 its reverse (4413342331), we get a palindrome (5745775475).

The spelling of 1332433144 in words is "one billion, three hundred thirty-two million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 53 56 71 106 142 212 284 371 424 497 568 742 994 1484 1988 2968 3763 3976 6323 7526 12646 15052 25292 26341 30104 44261 50584 52682 88522 105364 177044 210728 335119 354088 448933 670238 897866 1340476 1795732 2345833 2680952 3142531 3591464 4691666 6285062 9383332 12570124 18766664 23793449 25140248 47586898 95173796 166554143 190347592 333108286 666216572 1332433144