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1332314064 = 2432431032089
BaseRepresentation
bin100111101101001…
…0111111111010000
310102211222120022100
41033122113333100
510212033022224
6340112040400
745005324364
oct11732277720
93384876270
101332314064
11624069304
12312233100
13183040323
14c8d332a4
157be74ac9
hex4f697fd0

1332314064 has 120 divisors (see below), whose sum is σ = 3854227520. Its totient is φ = 429359616.

The previous prime is 1332314059. The next prime is 1332314099. The reversal of 1332314064 is 4604132331.

It is a congruent number.

It is an unprimeable number.

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, 636732 + ... + 638820.

Almost surely, 21332314064 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 1332314064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927113760).

1332314064 is an abundant number, since it is smaller than the sum of its proper divisors (2521913456).

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

1332314064 is a wasteful number, since it uses less digits than its factorization.

1332314064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1332314064 is about 36500.8775784912. The cubic root of 1332314064 is about 1100.3618820356.

Adding to 1332314064 its reverse (4604132331), we get a palindrome (5936446395).

The spelling of 1332314064 in words is "one billion, three hundred thirty-two million, three hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 103 129 144 172 206 258 309 344 387 412 516 618 688 774 824 927 1032 1236 1548 1648 1854 2064 2089 2472 3096 3708 4178 4429 4944 6192 6267 7416 8356 8858 12534 13287 14832 16712 17716 18801 25068 26574 33424 35432 37602 39861 50136 53148 70864 75204 79722 89827 100272 106296 150408 159444 179654 212592 215167 269481 300816 318888 359308 430334 538962 637776 645501 718616 808443 860668 1077924 1291002 1437232 1616886 1721336 1936503 2155848 2582004 3233772 3442672 3873006 4311696 5164008 6467544 7746012 9252181 10328016 12935088 15492024 18504362 27756543 30984048 37008724 55513086 74017448 83269629 111026172 148034896 166539258 222052344 333078516 444104688 666157032 1332314064