Search a number
-
+
3450448680 = 233572586811
BaseRepresentation
bin1100110110101001…
…1010101100101000
322220110121221202120
43031222122230220
524031303324210
61330215031240
7151335221100
oct31552325450
98813557676
103450448680
111510763188
1280366b520
1342cb0a513
1424a380200
15152dc0270
hexcda9ab28

3450448680 has 96 divisors (see below), whose sum is σ = 12041382240. Its totient is φ = 788672640.

The previous prime is 3450448669. The next prime is 3450448721. The reversal of 3450448680 is 868440543.

3450448680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287526 + ... + 299285.

It is an arithmetic number, because the mean of its divisors is an integer number (125431065).

Almost surely, 23450448680 is an apocalyptic number.

3450448680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3450448680 is an abundant number, since it is smaller than the sum of its proper divisors (8590933560).

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

3450448680 is a wasteful number, since it uses less digits than its factorization.

3450448680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586839 (or 586828 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 3450448680 is about 58740.5199159830. The cubic root of 3450448680 is about 1511.0953092750.

The spelling of 3450448680 in words is "three billion, four hundred fifty million, four hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 586811 1173622 1760433 2347244 2934055 3520866 4107677 4694488 5868110 7041732 8215354 8802165 11736220 12323031 14083464 16430708 17604330 20538385 23472440 24646062 28753739 32861416 35208660 41076770 49292124 57507478 61615155 70417320 82153540 86261217 98584248 115014956 123230310 143768695 164307080 172522434 230029912 246460620 287537390 345044868 431306085 492921240 575074780 690089736 862612170 1150149560 1725224340 3450448680