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3343213104 = 2437113129179
BaseRepresentation
bin1100011101000101…
…0110001000110000
322121222211211012120
43013101112020300
523321330304404
61311424354240
7145563561660
oct30721261060
98558754176
103343213104
11146617a540
12793775980
1341383250a
1423a0281a0
1514878b9d9
hexc7456230

3343213104 has 160 divisors (see below), whose sum is σ = 11115479040. Its totient is φ = 840326400.

The previous prime is 3343213079. The next prime is 3343213109. The reversal of 3343213104 is 4013123433.

It is a super-2 number, since 2×33432131042 = 22354147717514629632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3343213109) 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, 99987 + ... + 129165.

It is an arithmetic number, because the mean of its divisors is an integer number (69471744).

Almost surely, 23343213104 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 3343213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557739520).

3343213104 is an abundant number, since it is smaller than the sum of its proper divisors (7772265936).

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

3343213104 is a wasteful number, since it uses less digits than its factorization.

3343213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29239 (or 29233 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3343213104 is about 57820.5249370844. The cubic root of 3343213104 is about 1495.2759681895.

Adding to 3343213104 its reverse (4013123433), we get a palindrome (7356336537).

The spelling of 3343213104 in words is "three billion, three hundred forty-three million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 33 42 44 48 56 62 66 77 84 88 93 112 124 132 154 168 176 186 217 231 248 264 308 336 341 372 434 462 496 528 616 651 682 744 868 924 1023 1232 1302 1364 1488 1736 1848 2046 2387 2604 2728 3472 3696 4092 4774 5208 5456 7161 8184 9548 10416 14322 16368 19096 28644 29179 38192 57288 58358 87537 114576 116716 175074 204253 233432 320969 350148 408506 466864 612759 641938 700296 817012 904549 962907 1225518 1283876 1400592 1634024 1809098 1925814 2246783 2451036 2567752 2713647 3268048 3618196 3851628 4493566 4902072 5135504 5427294 6331843 6740349 7236392 7703256 8987132 9804144 9950039 10854588 12663686 13480698 14472784 15406512 17974264 18995529 19900078 21709176 25327372 26961396 29850117 35948528 37991058 39800156 43418352 50654744 53922792 59700234 69650273 75982116 79600312 101309488 107845584 119400468 139300546 151964232 159200624 208950819 238800936 278601092 303928464 417901638 477601872 557202184 835803276 1114404368 1671606552 3343213104