Search a number
-
+
3452265040 = 2457192314107
BaseRepresentation
bin1100110111000101…
…0110001001010000
322220121001020100011
43031301112021100
524032234440130
61330322004304
7151356524440
oct31561261120
98817036304
103452265040
111511793904
128041a6694
134302c51a3
1424a6d4120
1515312d52a
hexcdc56250

3452265040 has 160 divisors (see below), whose sum is σ = 10076497920. Its totient is φ = 1072507392.

The previous prime is 3452265023. The next prime is 3452265043. The reversal of 3452265040 is 405622543.

It is a junction number, because it is equal to n+sod(n) for n = 3452264993 and 3452265011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3452265043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237667 + ... + 251773.

It is an arithmetic number, because the mean of its divisors is an integer number (62978112).

Almost surely, 23452265040 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 3452265040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038248960).

3452265040 is an abundant number, since it is smaller than the sum of its proper divisors (6624232880).

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

3452265040 is a wasteful number, since it uses less digits than its factorization.

3452265040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14169 (or 14163 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 3452265040 is about 58755.9787596122. The cubic root of 3452265040 is about 1511.3604160150.

Adding to 3452265040 its reverse (405622543), we get a palindrome (3857887583).

The spelling of 3452265040 in words is "three billion, four hundred fifty-two million, two hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 23 28 35 38 40 46 56 70 76 80 92 95 112 115 133 140 152 161 184 190 230 266 280 304 322 368 380 437 460 532 560 644 665 760 805 874 920 1064 1288 1330 1520 1610 1748 1840 2128 2185 2576 2660 3059 3220 3496 4370 5320 6118 6440 6992 8740 10640 12236 12880 14107 15295 17480 24472 28214 30590 34960 48944 56428 61180 70535 98749 112856 122360 141070 197498 225712 244720 268033 282140 324461 394996 493745 536066 564280 648922 789992 987490 1072132 1128560 1297844 1340165 1579984 1622305 1876231 1974980 2144264 2271227 2595688 2680330 3244610 3752462 3949960 4288528 4542454 5191376 5360660 6164759 6489220 7504924 7899920 9084908 9381155 10721320 11356135 12329518 12978440 15009848 18169816 18762310 21442640 22712270 24659036 25956880 30019696 30823795 36339632 37524620 43153313 45424540 49318072 61647590 75049240 86306626 90849080 98636144 123295180 150098480 172613252 181698160 215766565 246590360 345226504 431533130 493180720 690453008 863066260 1726132520 3452265040