Search a number
-
+
2034310304 = 251317216921
BaseRepresentation
bin111100101000001…
…0001110010100000
312020202220200010002
41321100101302200
513131240412204
6533510155132
7101261231555
oct17120216240
95222820102
102034310304
11954351494
12489352aa8
132655cb210
1415426aa2c
15bd8dd91e
hex79411ca0

2034310304 has 72 divisors (see below), whose sum is σ = 4582037628. Its totient is φ = 883630080.

The previous prime is 2034310301. The next prime is 2034310307. The reversal of 2034310304 is 4030134302.

It is an interprime number because it is at equal distance from previous prime (2034310301) and next prime (2034310307).

It can be written as a sum of positive squares in 6 ways, for example, as 1436410000 + 597900304 = 37900^2 + 24452^2 .

It is not an unprimeable number, because it can be changed into a prime (2034310301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111764 + ... + 128684.

Almost surely, 22034310304 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 2034310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291018814).

2034310304 is an abundant number, since it is smaller than the sum of its proper divisors (2547727324).

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

2034310304 is a wasteful number, since it uses less digits than its factorization.

2034310304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16978 (or 16953 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2034310304 is about 45103.3291897616. The cubic root of 2034310304 is about 1267.0849511767.

Adding to 2034310304 its reverse (4030134302), we get a palindrome (6064444606).

The spelling of 2034310304 in words is "two billion, thirty-four million, three hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 289 416 442 544 578 884 1156 1768 2312 3536 3757 4624 7072 7514 9248 15028 16921 30056 33842 60112 67684 120224 135368 219973 270736 287657 439946 541472 575314 879892 1150628 1759784 2301256 3519568 3739541 4602512 4890169 7039136 7479082 9205024 9780338 14958164 19560676 29916328 39121352 59832656 63572197 78242704 119665312 127144394 156485408 254288788 508577576 1017155152 2034310304