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4340441214 = 23637611319
BaseRepresentation
bin1000000101011010…
…11110000001111110
3102012111022021000000
410002231132001332
532342123104324
61554410415130
7212363066364
oct40255360176
912174267000
104340441214
11192807a7aa
12a117314a6
1354230bb15
142d2653634
151a60c19c9
hex102b5e07e

4340441214 has 112 divisors (see below), whose sum is σ = 10197427680. Its totient is φ = 1383583680.

The previous prime is 4340441213. The next prime is 4340441219. The reversal of 4340441214 is 4121440434.

4340441214 is a `hidden beast` number, since 4 + 3 + 4 + 0 + 441 + 214 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4340441213) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3290047 + ... + 3291365.

Almost surely, 24340441214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4340441214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098713840).

4340441214 is an abundant number, since it is smaller than the sum of its proper divisors (5856986466).

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

4340441214 is a wasteful number, since it uses less digits than its factorization.

4340441214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4340441214 is about 65882.0249688790. The cubic root of 4340441214 is about 1631.2153248277.

Adding to 4340441214 its reverse (4121440434), we get a palindrome (8461881648).

The spelling of 4340441214 in words is "four billion, three hundred forty million, four hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 61 74 81 111 122 162 183 222 243 333 366 486 549 666 729 999 1098 1319 1458 1647 1998 2257 2638 2997 3294 3957 4514 4941 5994 6771 7914 8991 9882 11871 13542 14823 17982 20313 23742 26973 29646 35613 40626 44469 48803 53946 60939 71226 80459 88938 97606 106839 121878 146409 160918 182817 213678 241377 292818 320517 365634 439227 482754 548451 641034 724131 878454 961551 1096902 1317681 1448262 1645353 1923102 2172393 2635362 2976983 3290706 3953043 4344786 5953966 6517179 7906086 8930949 11859129 13034358 17861898 19551537 23718258 26792847 35577387 39103074 53585694 58654611 71154774 80378541 117309222 160757082 241135623 482271246 723406869 1446813738 2170220607 4340441214