Search a number
-
+
4340015004 = 22313311038713
BaseRepresentation
bin1000000101010111…
…10101111110011100
3102012110111121100110
410002223311332130
532342020440004
61554353330020
7212356342653
oct40253657634
912173447313
104340015004
111927909566
12a11566910
135421bcb20
142d258219a
151a603a589
hex102af5f9c

4340015004 has 96 divisors (see below), whose sum is σ = 11368075264. Its totient is φ = 1279618560.

The previous prime is 4340014997. The next prime is 4340015023. The reversal of 4340015004 is 4005100434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493752 + ... + 502464.

Almost surely, 24340015004 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 4340015004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5684037632).

4340015004 is an abundant number, since it is smaller than the sum of its proper divisors (7028060260).

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

4340015004 is a wasteful number, since it uses less digits than its factorization.

4340015004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8867 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4340015004 is about 65878.7902439017. The cubic root of 4340015004 is about 1631.1619306368.

Adding to 4340015004 its reverse (4005100434), we get a palindrome (8345115438).

The spelling of 4340015004 in words is "four billion, three hundred forty million, fifteen thousand, four".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 103 124 156 186 206 309 372 403 412 618 806 1209 1236 1339 1612 2418 2678 3193 4017 4836 5356 6386 8034 8713 9579 12772 16068 17426 19158 26139 34852 38316 41509 52278 83018 104556 113269 124527 166036 226538 249054 270103 339807 453076 498108 540206 679614 810309 897439 1080412 1359228 1620618 1794878 2692317 3241236 3511339 3589756 5384634 7022678 10534017 10769268 11666707 14045356 21068034 23333414 27820609 35000121 42136068 46666828 55641218 70000242 83461827 111282436 140000484 166923654 333847308 361667917 723335834 1085003751 1446671668 2170007502 4340015004