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1329387312 = 243112435323
BaseRepresentation
bin100111100111100…
…1101011100110000
310102122110212120010
41033033031130300
510210310343222
6335525214520
744641414521
oct11717153460
93378425503
101329387312
1162244a400
12311261440
13182557116
14c87b0848
157ba9780c
hex4f3cd730

1329387312 has 120 divisors (see below), whose sum is σ = 3863349952. Its totient is φ = 393402240.

The previous prime is 1329387299. The next prime is 1329387341. The reversal of 1329387312 is 2137839231.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 247083 + ... + 252405.

Almost surely, 21329387312 is an apocalyptic number.

1329387312 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 1329387312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931674976).

1329387312 is an abundant number, since it is smaller than the sum of its proper divisors (2533962640).

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

1329387312 is a wasteful number, since it uses less digits than its factorization.

1329387312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5399 (or 5382 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 1329387312 is about 36460.7640073545. The cubic root of 1329387312 is about 1099.5555537826. Note that the first 5 decimals are identical.

The spelling of 1329387312 in words is "one billion, three hundred twenty-nine million, three hundred eighty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 121 129 132 172 176 242 258 264 344 363 473 484 516 528 688 726 946 968 1032 1419 1452 1892 1936 2064 2838 2904 3784 5203 5323 5676 5808 7568 10406 10646 11352 15609 15969 20812 21292 22704 31218 31938 41624 42584 58553 62436 63876 83248 85168 117106 124872 127752 175659 228889 234212 249744 255504 351318 457778 468424 644083 686667 702636 915556 936848 1288166 1373334 1405272 1831112 1932249 2517779 2576332 2746668 2810544 3662224 3864498 5035558 5152664 5493336 7553337 7728996 10071116 10305328 10986672 15106674 15457992 20142232 27695569 30213348 30915984 40284464 55391138 60426696 83086707 110782276 120853392 166173414 221564552 332346828 443129104 664693656 1329387312