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335068965 = 325711259149
BaseRepresentation
bin10011111110001…
…011111100100101
3212100111021012200
4103332023330211
51141234201330
653125405113
711206016310
oct2376137445
9770437180
10335068965
11162157300
1294269799
135455907a
1432701977
151e639a60
hex13f8bf25

335068965 has 144 divisors (see below), whose sum is σ = 746928000. Its totient is φ = 135970560.

The previous prime is 335068961. The next prime is 335068999. The reversal of 335068965 is 569860533.

335068965 is a `hidden beast` number, since 3 + 3 + 506 + 89 + 65 = 666.

It is not a de Polignac number, because 335068965 - 22 = 335068961 is a prime.

It is a super-2 number, since 2×3350689652 = 224542422612342450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 335068965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335068961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2248711 + ... + 2248859.

It is an arithmetic number, because the mean of its divisors is an integer number (5187000).

Almost surely, 2335068965 is an apocalyptic number.

335068965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

335068965 is an abundant number, since it is smaller than the sum of its proper divisors (411859035).

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

335068965 is a wasteful number, since it uses less digits than its factorization.

335068965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 335068965 is about 18304.8891010025. The cubic root of 335068965 is about 694.5626114625.

The spelling of 335068965 in words is "three hundred thirty-five million, sixty-eight thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 59 63 77 99 105 121 149 165 177 231 295 315 363 385 413 447 495 531 605 649 693 745 847 885 1043 1089 1155 1239 1341 1639 1815 1947 2065 2235 2541 2655 3129 3245 3465 3717 4235 4543 4917 5215 5445 5841 6195 6705 7139 7623 8195 8791 9387 9735 11473 12705 13629 14751 15645 18029 18585 21417 22715 24585 26373 29205 34419 35695 38115 40887 43955 46935 49973 54087 57365 61537 64251 68145 73755 79119 90145 96701 103257 107085 126203 131865 149919 162261 172095 184611 204435 249865 270435 290103 307685 321255 378609 395595 449757 483505 516285 553833 631015 676907 749595 811305 870309 923055 1063711 1135827 1450515 1893045 2030721 2248785 2769165 3191133 3384535 4351545 5318555 5679135 6092163 7445977 9573399 10153605 15955665 22337931 30460815 37229885 47866995 67013793 111689655 335068965