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3302002004 = 227317672113
BaseRepresentation
bin1100010011010000…
…1000110101010100
322112010022002012112
43010310020311110
523230303031004
61303353210152
7144553361000
oct30464106524
98463262175
103302002004
111444991a84
12781a00958
13408133652
1423477b700
15144d4ae6e
hexc4d08d54

3302002004 has 96 divisors (see below), whose sum is σ = 7245100800. Its totient is φ = 1311399936.

The previous prime is 3302001991. The next prime is 3302002009. The reversal of 3302002004 is 4002002033.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 3302002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3302002009) 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 31 ways as a sum of consecutive naturals, for example, 1561652 + ... + 1563764.

It is an arithmetic number, because the mean of its divisors is an integer number (75469800).

Almost surely, 23302002004 is an apocalyptic number.

3302002004 is a gapful number since it is divisible by the number (34) 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 3302002004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622550400).

3302002004 is an abundant number, since it is smaller than the sum of its proper divisors (3943098796).

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

3302002004 is a wasteful number, since it uses less digits than its factorization.

3302002004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3302002004 is about 57463.0490315298. The cubic root of 3302002004 is about 1489.1065622601.

Adding to 3302002004 its reverse (4002002033), we get a palindrome (7304004037).

The spelling of 3302002004 in words is "three billion, three hundred two million, two thousand, four".

Divisors: 1 2 4 7 14 17 28 34 49 67 68 98 119 134 196 238 268 343 469 476 686 833 938 1139 1372 1666 1876 2113 2278 3283 3332 4226 4556 5831 6566 7973 8452 11662 13132 14791 15946 22981 23324 29582 31892 35921 45962 55811 59164 71842 91924 103537 111622 141571 143684 207074 223244 251447 283142 390677 414148 502894 566284 724759 781354 990997 1005788 1449518 1562708 1760129 1981994 2406707 2899036 3520258 3963988 4813414 6936979 7040516 9626828 12320903 13873958 16846949 24641806 27747916 33693898 48558853 49283612 67387796 97117706 117928643 194235412 235857286 471714572 825500501 1651001002 3302002004