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3299319408 = 2437111794987
BaseRepresentation
bin1100010010100111…
…1001111001110000
322111221020210101010
43010221321321300
523224111210113
61303215510520
7144521516010
oct30451717160
98457223333
103299319408
11144341a560
12780b28440
13407704608
1423427dc40
151449bb1c3
hexc4a79e70

3299319408 has 160 divisors (see below), whose sum is σ = 10687887360. Its totient is φ = 852007680.

The previous prime is 3299319407. The next prime is 3299319409. The reversal of 3299319408 is 8049139923.

3299319408 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3299319407) and next prime (3299319409).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3299319403) 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, 659091 + ... + 664077.

It is an arithmetic number, because the mean of its divisors is an integer number (66799296).

Almost surely, 23299319408 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 3299319408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343943680).

3299319408 is an abundant number, since it is smaller than the sum of its proper divisors (7388567952).

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

3299319408 is a wasteful number, since it uses less digits than its factorization.

3299319408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 3299319408 is about 57439.7023669169. The cubic root of 3299319408 is about 1488.7031954977.

The spelling of 3299319408 in words is "three billion, two hundred ninety-nine million, three hundred nineteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 179 231 264 308 336 358 462 528 537 616 716 924 1074 1232 1253 1432 1848 1969 2148 2506 2864 3696 3759 3938 4296 4987 5012 5907 7518 7876 8592 9974 10024 11814 13783 14961 15036 15752 19948 20048 23628 27566 29922 30072 31504 34909 39896 41349 47256 54857 55132 59844 60144 69818 79792 82698 94512 104727 109714 110264 119688 139636 164571 165396 209454 219428 220528 239376 279272 329142 330792 383999 418908 438856 558544 658284 661584 767998 837816 877712 892673 1151997 1316568 1535996 1675632 1785346 2303994 2633136 2678019 3071992 3570692 4607988 5356038 6143984 6248711 7141384 9215976 9819403 10712076 12497422 14282768 18431952 18746133 19638806 21424152 24994844 29458209 37492266 39277612 42848304 49989688 58916418 68735821 74984532 78555224 99979376 117832836 137471642 149969064 157110448 206207463 235665672 274943284 299938128 412414926 471331344 549886568 824829852 1099773136 1649659704 3299319408