Search a number
-
+
3470774440 = 2357137173523
BaseRepresentation
bin1100111011011111…
…1101000010101000
322221212212121110111
43032313331002220
524102004240230
61332222424104
7152003044630
oct31667750250
98855777414
103470774440
111521186231
1280a432034
134340a5cb3
1424cd516c0
15154a8792a
hexcedfd0a8

3470774440 has 128 divisors (see below), whose sum is σ = 9059247360. Its totient is φ = 1172219904.

The previous prime is 3470774413. The next prime is 3470774459. The reversal of 3470774440 is 444770743.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3470774393 and 3470774402.

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, 6636019 + ... + 6636541.

It is an arithmetic number, because the mean of its divisors is an integer number (70775370).

Almost surely, 23470774440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3470774440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529623680).

3470774440 is an abundant number, since it is smaller than the sum of its proper divisors (5588472920).

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

3470774440 is a wasteful number, since it uses less digits than its factorization.

3470774440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 40.

The square root of 3470774440 is about 58913.2789785121. The cubic root of 3470774440 is about 1514.0566678438.

The spelling of 3470774440 in words is "three billion, four hundred seventy million, seven hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 137 140 173 274 280 346 523 548 685 692 865 959 1046 1096 1211 1370 1384 1730 1918 2092 2422 2615 2740 3460 3661 3836 4184 4795 4844 5230 5480 6055 6920 7322 7672 9590 9688 10460 12110 14644 18305 19180 20920 23701 24220 29288 36610 38360 47402 48440 71651 73220 90479 94804 118505 143302 146440 165907 180958 189608 237010 286604 331814 358255 361916 452395 474020 501557 573208 633353 663628 716510 723832 829535 904790 948040 1003114 1266706 1327256 1433020 1659070 1809580 2006228 2507785 2533412 2866040 3166765 3318140 3619160 4012456 5015570 5066824 6333530 6636280 10031140 12395623 12667060 20062280 24791246 25334120 49582492 61978115 86769361 99164984 123956230 173538722 247912460 347077444 433846805 495824920 694154888 867693610 1735387220 3470774440