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3382690950 = 233526141077
BaseRepresentation
bin1100100110011111…
…1100010010000110
322201202010111122000
43021213330102012
523411432102300
61315354450130
7146553253512
oct31147742206
98652114560
103382690950
111486493861
127a4a33946
1341ba754a2
14241383142
1514be88c00
hexc99fc486

3382690950 has 96 divisors (see below), whose sum is σ = 9474229920. Its totient is φ = 887241600.

The previous prime is 3382690943. The next prime is 3382690951. The reversal of 3382690950 is 590962833.

3382690950 is a `hidden beast` number, since 338 + 269 + 0 + 9 + 50 = 666.

3382690950 is nontrivially palindromic in base 14.

3382690950 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 a super-2 number, since 2×33826909502 = 22885196126423805000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3382690896 and 3382690905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382690951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61812 + ... + 102888.

It is an arithmetic number, because the mean of its divisors is an integer number (98689895).

Almost surely, 23382690950 is an apocalyptic number.

3382690950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3382690950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737114960).

3382690950 is an abundant number, since it is smaller than the sum of its proper divisors (6091538970).

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

3382690950 is a wasteful number, since it uses less digits than its factorization.

3382690950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41159 (or 41148 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3382690950 is about 58160.9056841449. The cubic root of 3382690950 is about 1501.1385356058.

The spelling of 3382690950 in words is "three billion, three hundred eighty-two million, six hundred ninety thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 61 75 90 122 135 150 183 225 270 305 366 450 549 610 675 915 1098 1350 1525 1647 1830 2745 3050 3294 4575 5490 8235 9150 13725 16470 27450 41077 41175 82154 82350 123231 205385 246462 369693 410770 616155 739386 1026925 1109079 1232310 1848465 2053850 2218158 2505697 3080775 3696930 5011394 5545395 6161550 7517091 9242325 11090790 12528485 15034182 18484650 22551273 25056970 27726975 37585455 45102546 55453950 62642425 67653819 75170910 112756365 125284850 135307638 187927275 225512730 338269095 375854550 563781825 676538190 1127563650 1691345475 3382690950