Search a number
-
+
7823307340 = 2254361197757
BaseRepresentation
bin1110100100100111…
…00011001001001100
3202012012221012010201
413102103203021030
5112010231313330
63332144343244
7364604005132
oct72223431114
922165835121
107823307340
113355064662
121624014b24
13978a59754
14543031752
1530bc46eca
hex1d24e324c

7823307340 has 96 divisors (see below), whose sum is σ = 17196024384. Its totient is φ = 2987228160.

The previous prime is 7823307307. The next prime is 7823307347. The reversal of 7823307340 is 437033287.

It is a super-2 number, since 2×78233073402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7823307340.

It is not an unprimeable number, because it can be changed into a prime (7823307347) 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, 10334242 + ... + 10334998.

It is an arithmetic number, because the mean of its divisors is an integer number (179125254).

Almost surely, 27823307340 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 7823307340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598012192).

7823307340 is an abundant number, since it is smaller than the sum of its proper divisors (9372717044).

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

7823307340 is a wasteful number, since it uses less digits than its factorization.

7823307340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The square root of 7823307340 is about 88449.4620673297. The cubic root of 7823307340 is about 1985.1658578026.

The spelling of 7823307340 in words is "seven billion, eight hundred twenty-three million, three hundred seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 61 86 122 172 197 215 244 305 394 430 610 757 788 860 985 1220 1514 1970 2623 3028 3785 3940 5246 7570 8471 10492 12017 13115 15140 16942 24034 26230 32551 33884 42355 46177 48068 52460 60085 65102 84710 92354 120170 130204 149129 162755 169420 184708 230885 240340 298258 325510 461770 516731 596516 651020 745645 923540 1033462 1491290 1985611 2066924 2583655 2982580 3971222 5167310 6412547 7942444 9096869 9928055 10334620 12825094 18193738 19856110 25650188 32062735 36387476 39712220 45484345 64125470 90968690 128250940 181937380 391165367 782330734 1564661468 1955826835 3911653670 7823307340