Search a number
-
+
34463940 = 22357312647
BaseRepresentation
bin1000001101111…
…0000011000100
32101211221122020
42003132003010
532310321230
63230403140
7565636650
oct203360304
971757566
1034463940
11184aa2a5
12b6604b0
1371a8a84
144811a60
15305b810
hex20de0c4

34463940 has 96 divisors (see below), whose sum is σ = 113885184. Its totient is φ = 7620480.

The previous prime is 34463921. The next prime is 34463953. The reversal of 34463940 is 4936443.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11697 + ... + 14343.

It is an arithmetic number, because the mean of its divisors is an integer number (1186304).

Almost surely, 234463940 is an apocalyptic number.

34463940 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 34463940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56942592).

34463940 is an abundant number, since it is smaller than the sum of its proper divisors (79421244).

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

34463940 is a wasteful number, since it uses less digits than its factorization.

34463940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 34463940 is about 5870.5996286580. The cubic root of 34463940 is about 325.4280434899.

The spelling of 34463940 in words is "thirty-four million, four hundred sixty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 2647 3255 4340 5294 6510 7941 10588 13020 13235 15882 18529 26470 31764 37058 39705 52940 55587 74116 79410 82057 92645 111174 158820 164114 185290 222348 246171 277935 328228 370580 410285 492342 555870 574399 820570 984684 1111740 1148798 1230855 1641140 1723197 2297596 2461710 2871995 3446394 4923420 5743990 6892788 8615985 11487980 17231970 34463940