Search a number
-
+
2340786432 = 2834179941
BaseRepresentation
bin1000101110000101…
…1001000100000000
320001010121021022210
42023201121010000
514243220131212
61024135102120
7112002233145
oct21341310400
96033537283
102340786432
11aa1349546
12553b11940
132b3c5593a
14182c483cc
15da77b53c
hex8b859100

2340786432 has 144 divisors (see below), whose sum is σ = 6469505280. Its totient is φ = 750796800.

The previous prime is 2340786431. The next prime is 2340786451. The reversal of 2340786432 is 2346870432.

It is a super-2 number, since 2×23407864322 = 10958562240470581248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2340786431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2487082 + ... + 2488022.

It is an arithmetic number, because the mean of its divisors is an integer number (44927120).

Almost surely, 22340786432 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 2340786432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234752640).

2340786432 is an abundant number, since it is smaller than the sum of its proper divisors (4128718848).

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

2340786432 is an equidigital number, since it uses as much as digits as its factorization.

2340786432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 2340786432 is about 48381.6745472911. The cubic root of 2340786432 is about 1327.7631067261.

The spelling of 2340786432 in words is "two billion, three hundred forty million, seven hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 79 82 96 123 128 158 164 192 237 246 256 316 328 384 474 492 632 656 768 941 948 984 1264 1312 1882 1896 1968 2528 2624 2823 3239 3764 3792 3936 5056 5248 5646 6478 7528 7584 7872 9717 10112 10496 11292 12956 15056 15168 15744 19434 20224 22584 25912 30112 30336 31488 38581 38868 45168 51824 60224 60672 74339 77162 77736 90336 103648 115743 120448 148678 154324 155472 180672 207296 223017 231486 240896 297356 308648 310944 361344 414592 446034 462972 594712 617296 621888 722688 829184 892068 925944 1189424 1234592 1243776 1784136 1851888 2378848 2469184 2487552 3047899 3568272 3703776 4757696 4938368 6095798 7136544 7407552 9143697 9515392 9876736 12191596 14273088 14815104 18287394 19030784 24383192 28546176 29630208 36574788 48766384 57092352 73149576 97532768 146299152 195065536 292598304 390131072 585196608 780262144 1170393216 2340786432