Search a number
-
+
3245464320 = 28357120739
BaseRepresentation
bin1100000101110001…
…1101101100000000
322101011220200002020
43001130131230000
523121314324240
61254013321440
7143265664050
oct30134355400
98334820066
103245464320
111415a8641a
12766a96280
133c94c95b7
1422b061560
1513edce0d0
hexc171db00

3245464320 has 144 divisors (see below), whose sum is σ = 11846042880. Its totient is φ = 741814272.

The previous prime is 3245464319. The next prime is 3245464331. The reversal of 3245464320 is 234645423.

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 15 ways as a sum of consecutive naturals, for example, 33490 + ... + 87249.

Almost surely, 23245464320 is an apocalyptic number.

3245464320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3245464320 is an abundant number, since it is smaller than the sum of its proper divisors (8600578560).

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

3245464320 is a wasteful number, since it uses less digits than its factorization.

3245464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120770 (or 120756 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The square root of 3245464320 is about 56968.9768207223. The cubic root of 3245464320 is about 1480.5586398523.

The spelling of 3245464320 in words is "three billion, two hundred forty-five million, four hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 120739 241478 362217 482956 603695 724434 845173 965912 1207390 1448868 1690346 1811085 1931824 2414780 2535519 2897736 3380692 3622170 3863648 4225865 4829560 5071038 5795472 6761384 7244340 7727296 8451730 9659120 10142076 11590944 12677595 13522768 14488680 15454592 16903460 19318240 20284152 23181888 25355190 27045536 28977360 30909184 33806920 38636480 40568304 46363776 50710380 54091072 57954720 67613840 77272960 81136608 92727552 101420760 108182144 115909440 135227680 154545920 162273216 202841520 216364288 231818880 270455360 324546432 405683040 463637760 540910720 649092864 811366080 1081821440 1622732160 3245464320