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4434034311 = 337431075099
BaseRepresentation
bin1000010000100100…
…11111111010000111
3102110000102021121000
410020102133322013
533040103044221
62011552424343
7214610445510
oct41022377207
912400367530
104434034311
111975995673
12a38b480b3
1355881b355
14300c57a07
151ae40ce26
hex10849fe87

4434034311 has 64 divisors (see below), whose sum is σ = 7755264000. Its totient is φ = 2451199968.

The previous prime is 4434034291. The next prime is 4434034337. The reversal of 4434034311 is 1134304344.

4434034311 is a `hidden beast` number, since 4 + 4 + 340 + 3 + 4 + 311 = 666.

It is not a de Polignac number, because 4434034311 - 26 = 4434034247 is a prime.

It is a super-2 number, since 2×44340343112 = 39321320542250489442, which contains 22 as substring.

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 (4434034211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 867040 + ... + 872138.

It is an arithmetic number, because the mean of its divisors is an integer number (121176000).

Almost surely, 24434034311 is an apocalyptic number.

4434034311 is a deficient number, since it is larger than the sum of its proper divisors (3321229689).

4434034311 is a wasteful number, since it uses less digits than its factorization.

4434034311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4434034311 is about 66588.5448932472. The cubic root of 4434034311 is about 1642.8566994951.

Adding to 4434034311 its reverse (1134304344), we get a palindrome (5568338655).

The spelling of 4434034311 in words is "four billion, four hundred thirty-four million, thirty-four thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 43 63 107 129 189 301 321 387 749 903 963 1161 2247 2709 2889 4601 5099 6741 8127 13803 15297 20223 32207 35693 41409 45891 96621 107079 124227 137673 219257 289863 321237 545593 657771 869589 963711 1534799 1636779 1973313 3819151 4604397 4910337 5919939 11457453 13813191 14731011 23460499 34372359 41439573 70381497 103117077 164223493 211144491 492670479 633433473 1478011437 4434034311