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4434100034 = 27131923197283
BaseRepresentation
bin1000010000100101…
…01111111101000010
3102110000112121202012
410020102233331002
533040112200114
62011554052522
7214611141230
oct41022577502
912400477665
104434100034
111975a2aa91
12a38b7a142
13558842240
14300c73950
151ae42263e
hex1084aff42

4434100034 has 128 divisors (see below), whose sum is σ = 9069096960. Its totient is φ = 1575915264.

The previous prime is 4434100019. The next prime is 4434100039. The reversal of 4434100034 is 4300014344.

It is a super-2 number, since 2×44341000342 = 39322486223037602312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 4434099982 and 4434100009.

It is not an unprimeable number, because it can be changed into a prime (4434100039) 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, 15668057 + ... + 15668339.

It is an arithmetic number, because the mean of its divisors is an integer number (70852320).

Almost surely, 24434100034 is an apocalyptic number.

4434100034 is an abundant number, since it is smaller than the sum of its proper divisors (4634996926).

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

4434100034 is a wasteful number, since it uses less digits than its factorization.

4434100034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544.

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 4434100034 is about 66589.0383922159. The cubic root of 4434100034 is about 1642.8648164776.

Adding to 4434100034 its reverse (4300014344), we get a palindrome (8734114378).

The spelling of 4434100034 in words is "four billion, four hundred thirty-four million, one hundred thousand, thirty-four".

Divisors: 1 2 7 13 14 19 23 26 38 46 91 133 161 182 197 247 266 283 299 322 394 437 494 566 598 874 1379 1729 1981 2093 2561 2758 3059 3458 3679 3743 3962 4186 4531 5122 5377 5681 6118 6509 7358 7486 9062 10754 11362 13018 17927 25753 26201 31717 35854 37639 39767 45563 48659 51506 52402 55751 58903 63434 69901 75278 79534 84617 86089 91126 97318 111502 117806 123671 139802 169234 172178 247342 340613 390257 412321 489307 592319 602623 681226 724763 780514 824642 865697 978614 1059269 1119157 1184638 1205246 1282273 1449526 1607723 1731394 2118538 2238314 2564546 3215446 5073341 7414883 7834099 8975911 10146682 11254061 13770497 14829766 15668198 16669549 17951822 22508122 24363187 27540994 33339098 48726374 96393479 116686843 170542309 192786958 233373686 316721431 341084618 633442862 2217050017 4434100034