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7264784340 = 2232511330323
BaseRepresentation
bin1101100010000001…
…11100111111010100
3200202021222021121200
412301000330333110
5104334241044330
63200513312500
7345012435162
oct66100747724
920667867550
107264784340
113098866000
1214a8b65730
138ba123a78
144ccba4232
152c7bbda60
hex1b103cfd4

7264784340 has 144 divisors (see below), whose sum is σ = 24239307456. Its totient is φ = 1761101760.

The previous prime is 7264784297. The next prime is 7264784341. The reversal of 7264784340 is 434874627.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7264784341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224419 + ... + 254741.

It is an arithmetic number, because the mean of its divisors is an integer number (168328524).

Almost surely, 27264784340 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 7264784340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12119653728).

7264784340 is an abundant number, since it is smaller than the sum of its proper divisors (16974523116).

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

7264784340 is a wasteful number, since it uses less digits than its factorization.

7264784340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30371 (or 30344 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 7264784340 is about 85233.7042489648. The cubic root of 7264784340 is about 1936.7530214627.

The spelling of 7264784340 in words is "seven billion, two hundred sixty-four million, seven hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1331 1452 1815 1980 2178 2420 2662 3630 3993 4356 5324 5445 6655 7260 7986 10890 11979 13310 15972 19965 21780 23958 26620 30323 39930 47916 59895 60646 79860 90969 119790 121292 151615 181938 239580 272907 303230 333553 363876 454845 545814 606460 667106 909690 1000659 1091628 1334212 1364535 1667765 1819380 2001318 2729070 3001977 3335530 3669083 4002636 5003295 5458140 6003954 6671060 7338166 10006590 11007249 12007908 14676332 15009885 18345415 20013180 22014498 30019770 33021747 36690830 40359913 44028996 55036245 60039540 66043494 73381660 80719826 110072490 121079739 132086988 161439652 165108735 201799565 220144980 242159478 330217470 363239217 403599130 484318956 605398695 660434940 726478434 807198260 1210797390 1452956868 1816196085 2421594780 3632392170 7264784340