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3382364388 = 22313533131307
BaseRepresentation
bin1100100110011010…
…1100100011100100
322201201111220200010
43021212230203210
523411341130023
61315343450220
7146550423444
oct31146544344
98651456603
103382364388
111486290477
127a48b6970
1341b98c960
142412da124
1514be22093
hexc99ac8e4

3382364388 has 96 divisors (see below), whose sum is σ = 8693951616. Its totient is φ = 1017050112.

The previous prime is 3382364371. The next prime is 3382364389. The reversal of 3382364388 is 8834632833.

It is a super-2 number, since 2×33823643882 = 22880777706421229088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3382364389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2587231 + ... + 2588537.

It is an arithmetic number, because the mean of its divisors is an integer number (90561996).

Almost surely, 23382364388 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 3382364388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346975808).

3382364388 is an abundant number, since it is smaller than the sum of its proper divisors (5311587228).

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

3382364388 is a wasteful number, since it uses less digits than its factorization.

3382364388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1691 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The square root of 3382364388 is about 58158.0982151239. The cubic root of 3382364388 is about 1501.0902278546.

The spelling of 3382364388 in words is "three billion, three hundred eighty-two million, three hundred sixty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 313 318 626 636 689 939 1252 1307 1378 1878 2067 2614 2756 3756 3921 4069 4134 5228 7842 8138 8268 12207 15684 16276 16589 16991 24414 33178 33982 48828 49767 50973 66356 67964 69271 99534 101946 138542 199068 203892 207813 215657 277084 409091 415626 431314 646971 818182 831252 862628 900523 1227273 1293942 1636364 1801046 2454546 2587884 2701569 3602092 4909092 5318183 5403138 10636366 10806276 15954549 21272732 21681823 31909098 43363646 63818196 65045469 86727292 130090938 260181876 281863699 563727398 845591097 1127454796 1691182194 3382364388