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3384419544 = 2333113145949
BaseRepresentation
bin1100100110111010…
…0010010011011000
322201212101022211000
43021232202103120
523412402411134
61315455505000
7146604043242
oct31156422330
98655338730
103384419544
111487464550
127a5528160
1341c22c21c
142416b3092
1514c1cae99
hexc9ba24d8

3384419544 has 128 divisors (see below), whose sum is σ = 10586880000. Its totient is φ = 992476800.

The previous prime is 3384419501. The next prime is 3384419581. The reversal of 3384419544 is 4459144833.

It is a super-2 number, since 2×33844195442 = 22908591299618335872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3384419544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50682 + ... + 96630.

It is an arithmetic number, because the mean of its divisors is an integer number (82710000).

Almost surely, 23384419544 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 3384419544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293440000).

3384419544 is an abundant number, since it is smaller than the sum of its proper divisors (7202460456).

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

3384419544 is a wasteful number, since it uses less digits than its factorization.

3384419544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46006 (or 45996 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 3384419544 is about 58175.7642321955. The cubic root of 3384419544 is about 1501.3941917514.

The spelling of 3384419544 in words is "three billion, three hundred eighty-four million, four hundred nineteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 558 594 682 744 792 837 1023 1116 1188 1364 1674 2046 2232 2376 2728 3069 3348 4092 6138 6696 8184 9207 12276 18414 24552 36828 45949 73656 91898 137847 183796 275694 367592 413541 505439 551388 827082 1010878 1102776 1240623 1424419 1516317 1654164 2021756 2481246 2848838 3032634 3308328 4043512 4273257 4548951 4962492 5697676 6065268 8546514 9097902 9924984 11395352 12130536 12819771 13646853 15668609 17093028 18195804 25639542 27293706 31337218 34186056 36391608 38459313 47005827 51279084 54587412 62674436 76918626 94011654 102558168 109174824 125348872 141017481 153837252 188023308 282034962 307674504 376046616 423052443 564069924 846104886 1128139848 1692209772 3384419544