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414443034 = 23317661683
BaseRepresentation
bin11000101100111…
…110011000011010
31001212211212222000
4120230332120122
51322044134114
6105042541430
713161464505
oct3054763032
91055755860
10414443034
111a2a40205
12b6967876
1367b2a585
143d08413c
15265b7e09
hex18b3e61a

414443034 has 64 divisors (see below), whose sum is σ = 978065280. Its totient is φ = 129634560.

The previous prime is 414443033. The next prime is 414443041. The reversal of 414443034 is 430344414.

It is a super-2 number, since 2×4144430342 = 343526056862250312, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 414442989 and 414443007.

It is not an unprimeable number, because it can be changed into a prime (414443033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606457 + ... + 607139.

It is an arithmetic number, because the mean of its divisors is an integer number (15282270).

Almost surely, 2414443034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414443034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489032640).

414443034 is an abundant number, since it is smaller than the sum of its proper divisors (563622246).

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

414443034 is a wasteful number, since it uses less digits than its factorization.

414443034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 414443034 is about 20357.8740049151. The cubic root of 414443034 is about 745.5697540891.

Adding to 414443034 its reverse (430344414), we get a palindrome (844787448).

The spelling of 414443034 in words is "four hundred fourteen million, four hundred forty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 661 683 918 1322 1366 1983 2049 3966 4098 5949 6147 11237 11611 11898 12294 17847 18441 22474 23222 33711 34833 35694 36882 67422 69666 101133 104499 202266 208998 303399 313497 451463 606798 626994 902926 1354389 2708778 4063167 7674871 8126334 12189501 15349742 23024613 24379002 46049226 69073839 138147678 207221517 414443034