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3396229344 = 253322317627
BaseRepresentation
bin1100101001101110…
…0101100011100000
322202200121022211000
43022123211203200
523423413314334
61321000552000
7150106321164
oct31233454340
98680538730
103396229344
1114930a0412
127a9482600
13421805781
142430a8ca4
1514d260299
hexca6e58e0

3396229344 has 96 divisors (see below), whose sum is σ = 9950653440. Its totient is φ = 1126935936.

The previous prime is 3396229337. The next prime is 3396229357. The reversal of 3396229344 is 4439226933.

3396229344 is a `hidden beast` number, since 3 + 396 + 229 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3396229344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183859 + ... + 201485.

It is an arithmetic number, because the mean of its divisors is an integer number (103652640).

Almost surely, 23396229344 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 3396229344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975326720).

3396229344 is an abundant number, since it is smaller than the sum of its proper divisors (6554424096).

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

3396229344 is a wasteful number, since it uses less digits than its factorization.

3396229344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17869 (or 17855 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 3396229344 is about 58277.1768705383. The cubic root of 3396229344 is about 1503.1385165625.

The spelling of 3396229344 in words is "three billion, three hundred ninety-six million, two hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 223 288 432 446 669 864 892 1338 1784 2007 2676 3568 4014 5352 6021 7136 8028 10704 12042 16056 17627 21408 24084 32112 35254 48168 52881 64224 70508 96336 105762 141016 158643 192672 211524 282032 317286 423048 475929 564064 634572 846096 951858 1269144 1692192 1903716 2538288 3807432 3930821 5076576 7614864 7861642 11792463 15229728 15723284 23584926 31446568 35377389 47169852 62893136 70754778 94339704 106132167 125786272 141509556 188679408 212264334 283019112 377358816 424528668 566038224 849057336 1132076448 1698114672 3396229344