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1332313332 = 2237213916301
BaseRepresentation
bin100111101101001…
…0111110011110100
310102211222112022020
41033122113303310
510212033011312
6340112033140
745005322300
oct11732276364
93384875266
101332313332
116240687a9
123122327b0
1318303cbac
14c8d32d00
157be7478c
hex4f697cf4

1332313332 has 72 divisors (see below), whose sum is σ = 3642518880. Its totient is φ = 377899200.

The previous prime is 1332313259. The next prime is 1332313337. The reversal of 1332313332 is 2333132331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332313337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73582 + ... + 89882.

It is an arithmetic number, because the mean of its divisors is an integer number (50590540).

Almost surely, 21332313332 is an apocalyptic number.

1332313332 is a gapful number since it is divisible by the number (12) 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 1332313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821259440).

1332313332 is an abundant number, since it is smaller than the sum of its proper divisors (2310205548).

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

1332313332 is a wasteful number, since it uses less digits than its factorization.

1332313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16461 (or 16452 counting only the distinct ones).

The product of its digits is 2916, while the sum is 24.

The square root of 1332313332 is about 36500.8675513336. The cubic root of 1332313332 is about 1100.3616805153.

Adding to 1332313332 its reverse (2333132331), we get a palindrome (3665445663).

The spelling of 1332313332 in words is "one billion, three hundred thirty-two million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 139 147 196 278 294 417 556 588 834 973 1668 1946 2919 3892 5838 6811 11676 13622 16301 20433 27244 32602 40866 48903 65204 81732 97806 114107 195612 228214 342321 456428 684642 798749 1369284 1597498 2265839 2396247 3194996 4531678 4792494 6797517 9063356 9584988 13595034 15860873 27190068 31721746 47582619 63443492 95165238 111026111 190330476 222052222 333078333 444104444 666156666 1332313332