Search a number
-
+
3366913368 = 2337133114957
BaseRepresentation
bin1100100010101111…
…0000010101011000
322200122102220212010
43020223300111120
523343412211433
61314032345520
7146302201650
oct31053602530
98618386763
103366913368
111478597935
1279b6a52a0
1341870cc40
1423d237360
1514a8bde63
hexc8af0558

3366913368 has 128 divisors (see below), whose sum is σ = 10395141120. Its totient is φ = 884943360.

The previous prime is 3366913367. The next prime is 3366913387. The reversal of 3366913368 is 8633196633.

It is a super-2 number, since 2×33669133682 = 22672211255234206848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366913367) 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, 676746 + ... + 681702.

It is an arithmetic number, because the mean of its divisors is an integer number (81212040).

Almost surely, 23366913368 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 3366913368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197570560).

3366913368 is an abundant number, since it is smaller than the sum of its proper divisors (7028227752).

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

3366913368 is a wasteful number, since it uses less digits than its factorization.

3366913368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5297 (or 5293 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 48.

The square root of 3366913368 is about 58025.1098060142. The cubic root of 3366913368 is about 1498.8010223348.

The spelling of 3366913368 in words is "three billion, three hundred sixty-six million, nine hundred thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 311 312 364 546 622 728 933 1092 1244 1866 2177 2184 2488 3732 4043 4354 4957 6531 7464 8086 8708 9914 12129 13062 14871 16172 17416 19828 24258 26124 28301 29742 32344 34699 39656 48516 52248 56602 59484 64441 69398 84903 97032 104097 113204 118968 128882 138796 169806 193323 208194 226408 257764 277592 339612 386646 416388 451087 515528 679224 773292 832776 902174 1353261 1541627 1546584 1804348 2706522 3083254 3608696 4624881 5413044 6166508 9249762 10791389 10826088 12333016 18499524 20041151 21582778 32374167 36999048 40082302 43165556 60123453 64748334 80164604 86331112 120246906 129496668 140288057 160329208 240493812 258993336 280576114 420864171 480987624 561152228 841728342 1122304456 1683456684 3366913368