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4233420240 = 2435717148229
BaseRepresentation
bin1111110001010100…
…1101110111010000
3101221000221000211020
43330111031313100
532132223421430
61540024515440
7206623323030
oct37425156720
911830830736
104233420240
111882723315
129a191bb80
135260aa6ba
142c23558c0
1519b9d1b10
hexfc54ddd0

4233420240 has 160 divisors (see below), whose sum is σ = 15880769280. Its totient is φ = 910712832.

The previous prime is 4233420221. The next prime is 4233420241. The reversal of 4233420240 is 420243324.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4233420240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233420241) 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, 45555 + ... + 102674.

It is an arithmetic number, because the mean of its divisors is an integer number (99254808).

Almost surely, 24233420240 is an apocalyptic number.

4233420240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4233420240 is an abundant number, since it is smaller than the sum of its proper divisors (11647349040).

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

4233420240 is a wasteful number, since it uses less digits than its factorization.

4233420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148269 (or 148263 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4233420240 is about 65064.7388375609. The cubic root of 4233420240 is about 1617.6968032441.

Adding to 4233420240 its reverse (420243324), we get a palindrome (4653663564).

The spelling of 4233420240 in words is "four billion, two hundred thirty-three million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 4080 4760 5712 7140 9520 14280 28560 148229 296458 444687 592916 741145 889374 1037603 1185832 1482290 1778748 2075206 2223435 2371664 2519893 2964580 3112809 3557496 4150412 4446870 5039786 5188015 5929160 6225618 7114992 7559679 8300824 8893740 10079572 10376030 11858320 12451236 12599465 15119358 15564045 16601648 17639251 17787480 20159144 20752060 24902472 25198930 30238716 31128090 35278502 35574960 37798395 40318288 41504120 49804944 50397860 52917753 60477432 62256180 70557004 75596790 83008240 88196255 100795720 105835506 120954864 124512360 141114008 151193580 176392510 201591440 211671012 249024720 264588765 282228016 302387160 352785020 423342024 529177530 604774320 705570040 846684048 1058355060 1411140080 2116710120 4233420240