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990351336 = 233133379419
BaseRepresentation
bin111011000001111…
…000111111101000
32120000112001122010
4323001320333220
54012012220321
6242134355520
733353563452
oct7301707750
92500461563
10990351336
11469033687
122377bbba0
1312a23c510
14957592d2
155be27676
hex3b078fe8

990351336 has 64 divisors (see below), whose sum is σ = 2674526400. Its totient is φ = 303787008.

The previous prime is 990351311. The next prime is 990351379. The reversal of 990351336 is 633153099.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 990351294 and 990351303.

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 15 ways as a sum of consecutive naturals, for example, 100435 + ... + 109853.

It is an arithmetic number, because the mean of its divisors is an integer number (41789475).

Almost surely, 2990351336 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 990351336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337263200).

990351336 is an abundant number, since it is smaller than the sum of its proper divisors (1684175064).

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

990351336 is a wasteful number, since it uses less digits than its factorization.

990351336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778 (or 9774 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 39.

The square root of 990351336 is about 31469.8480453910. The cubic root of 990351336 is about 996.7733787797.

The spelling of 990351336 in words is "nine hundred ninety million, three hundred fifty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 337 674 1011 1348 2022 2696 4044 4381 8088 8762 9419 13143 17524 18838 26286 28257 35048 37676 52572 56514 75352 105144 113028 122447 226056 244894 367341 489788 734682 979576 1469364 2938728 3174203 6348406 9522609 12696812 19045218 25393624 38090436 41264639 76180872 82529278 123793917 165058556 247587834 330117112 495175668 990351336