Search a number
-
+
2342434304 = 2971941839
BaseRepresentation
bin1000101110011110…
…1011011000000000
320001020200222210002
42023213223120000
514244130344204
61024234255132
7112022235350
oct21347533000
96036628702
102342434304
11aa2274621
125545874a8
132b43b1a02
14183156b60
15da9a491e
hex8b9eb600

2342434304 has 160 divisors (see below), whose sum is σ = 5774630400. Its totient is φ = 926760960.

The previous prime is 2342434277. The next prime is 2342434309. The reversal of 2342434304 is 4034342432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342434309) 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, 2791517 + ... + 2792355.

It is an arithmetic number, because the mean of its divisors is an integer number (36091440).

Almost surely, 22342434304 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 2342434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887315200).

2342434304 is an abundant number, since it is smaller than the sum of its proper divisors (3432196096).

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

2342434304 is an equidigital number, since it uses as much as digits as its factorization.

2342434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

The square root of 2342434304 is about 48398.7014701841. The cubic root of 2342434304 is about 1328.0746075083.

Adding to 2342434304 its reverse (4034342432), we get a palindrome (6376776736).

The spelling of 2342434304 in words is "two billion, three hundred forty-two million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 56 64 76 82 112 128 133 152 164 224 256 266 287 304 328 448 512 532 574 608 656 779 839 896 1064 1148 1216 1312 1558 1678 1792 2128 2296 2432 2624 3116 3356 3584 4256 4592 4864 5248 5453 5873 6232 6712 8512 9184 9728 10496 10906 11746 12464 13424 15941 17024 18368 20992 21812 23492 24928 26848 31882 34048 34399 36736 43624 46984 49856 53696 63764 68096 68798 73472 87248 93968 99712 107392 111587 127528 137596 146944 174496 187936 199424 214784 223174 240793 255056 275192 348992 375872 398848 429568 446348 481586 510112 550384 653581 697984 751744 892696 963172 1020224 1100768 1307162 1395968 1503488 1785392 1926344 2040448 2201536 2614324 2791936 3006976 3570784 3852688 4080896 4403072 4575067 5228648 7141568 7705376 8161792 8806144 9150134 10457296 14283136 15410752 17612288 18300268 20914592 28566272 30821504 36600536 41829184 57132544 61643008 73201072 83658368 123286016 146402144 167316736 292804288 334633472 585608576 1171217152 2342434304