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333136140 = 2235231631481
BaseRepresentation
bin10011110110110…
…100000100001100
3212012212001212120
4103312310010030
51140240324030
653020132540
711153416251
oct2366640414
9765761776
10333136140
11161057127
1293697150
135403039c
143235b428
151e3a7010
hex13db410c

333136140 has 96 divisors (see below), whose sum is σ = 979969536. Its totient is φ = 84395520.

The previous prime is 333136087. The next prime is 333136159. The reversal of 333136140 is 41631333.

It is a super-2 number, since 2×3331361402 = 221959375548199200, 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 333136140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224200 + ... + 225680.

It is an arithmetic number, because the mean of its divisors is an integer number (10208016).

Almost surely, 2333136140 is an apocalyptic number.

333136140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333136140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489984768).

333136140 is an abundant number, since it is smaller than the sum of its proper divisors (646833396).

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

333136140 is a wasteful number, since it uses less digits than its factorization.

333136140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 333136140 is about 18252.0174227399. The cubic root of 333136140 is about 693.2245211594.

Adding to 333136140 its reverse (41631333), we get a palindrome (374767473).

The spelling of 333136140 in words is "three hundred thirty-three million, one hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 163 230 276 326 345 460 489 652 690 815 978 1380 1481 1630 1956 2445 2962 3260 3749 4443 4890 5924 7405 7498 8886 9780 11247 14810 14996 17772 18745 22215 22494 29620 34063 37490 44430 44988 56235 68126 74980 88860 102189 112470 136252 170315 204378 224940 241403 340630 408756 482806 510945 681260 724209 965612 1021890 1207015 1448418 2043780 2414030 2896836 3621045 4828060 5552269 7242090 11104538 14484180 16656807 22209076 27761345 33313614 55522690 66627228 83284035 111045380 166568070 333136140