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30841965 = 3457112343
BaseRepresentation
bin111010110100…
…1110001101101
32011000221020000
41311221301231
530343420330
63021014513
7523103160
oct165516155
964027200
1030841965
1116456030
12a3b4439
13650b2ab
14414bad7
152a93560
hex1d69c6d

30841965 has 160 divisors (see below), whose sum is σ = 73598976. Its totient is φ = 11975040.

The previous prime is 30841933. The next prime is 30841969. The reversal of 30841965 is 56914803.

It is not a de Polignac number, because 30841965 - 25 = 30841933 is a prime.

It is a super-2 number, since 2×308419652 = 1902453610122450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30841969) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 717234 + ... + 717276.

It is a vampire number, since it can be written as 34658901 (with its own digits).

Almost surely, 230841965 is an apocalyptic number.

30841965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30841965 is an abundant number, since it is smaller than the sum of its proper divisors (42757011).

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

30841965 is a wasteful number, since it uses less digits than its factorization.

30841965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 30841965 is about 5553.5542673139. The cubic root of 30841965 is about 313.6033403966.

The spelling of 30841965 in words is "thirty million, eight hundred forty-one thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 23 27 33 35 43 45 55 63 69 77 81 99 105 115 129 135 161 165 189 207 215 231 253 297 301 315 345 385 387 405 473 483 495 567 621 645 693 759 805 891 903 945 989 1035 1155 1161 1265 1419 1449 1485 1505 1771 1863 1935 2079 2277 2365 2415 2709 2835 2967 3105 3311 3465 3483 3795 4257 4347 4455 4515 4945 5313 5805 6237 6831 6923 7095 7245 8127 8855 8901 9315 9933 10395 10879 11385 12771 13041 13545 14835 15939 16555 17415 20493 20769 21285 21735 24381 26565 26703 29799 31185 32637 34155 34615 38313 40635 44505 47817 49665 54395 62307 63855 65205 76153 79695 80109 89397 97911 102465 103845 121905 133515 143451 148995 163185 186921 191565 228459 239085 268191 293733 311535 380765 400545 446985 489555 560763 685377 717255 881199 934605 1142295 1340955 1468665 2056131 2803815 3426885 4405995 6168393 10280655 30841965