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1350221312 = 29111491609
BaseRepresentation
bin101000001111010…
…1011111000000000
310111002200100102202
41100132223320000
510231124040222
6341551532332
745313456166
oct12036537000
93432610382
101350221312
1163318a290
1231822a0a8
1318697002b
14cb475236
157d810892
hex507abe00

1350221312 has 80 divisors (see below), whose sum is σ = 2964654000. Its totient is φ = 609239040.

The previous prime is 1350221267. The next prime is 1350221317. The reversal of 1350221312 is 2131220531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350221317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 838364 + ... + 839972.

It is an arithmetic number, because the mean of its divisors is an integer number (37058175).

Almost surely, 21350221312 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 1350221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482327000).

1350221312 is an abundant number, since it is smaller than the sum of its proper divisors (1614432688).

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

1350221312 is a wasteful number, since it uses less digits than its factorization.

1350221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1350221312 is about 36745.3576931835. The cubic root of 1350221312 is about 1105.2698403943.

Adding to 1350221312 its reverse (2131220531), we get a palindrome (3481441843).

The spelling of 1350221312 in words is "one billion, three hundred fifty million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 149 176 256 298 352 512 596 704 1192 1408 1609 1639 2384 2816 3218 3278 4768 5632 6436 6556 9536 12872 13112 17699 19072 25744 26224 35398 38144 51488 52448 70796 76288 102976 104896 141592 205952 209792 239741 283184 411904 419584 479482 566368 823808 839168 958964 1132736 1917928 2265472 2637151 3835856 4530944 5274302 7671712 9061888 10548604 15343424 21097208 30686848 42194416 61373696 84388832 122747392 168777664 337555328 675110656 1350221312