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411431244 = 22373195261
BaseRepresentation
bin11000100001011…
…111000101001100
31001200011212120020
4120201133011030
51320311244434
6104454222140
713124052000
oct3041370514
91050155506
10411431244
111a1273424
12b5954950
1367314753
143c8dc700
15261c0849
hex1885f14c

411431244 has 96 divisors (see below), whose sum is σ = 1178688000. Its totient is φ = 111343680.

The previous prime is 411431233. The next prime is 411431257. The reversal of 411431244 is 442134114.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75574 + ... + 80834.

It is an arithmetic number, because the mean of its divisors is an integer number (12278000).

Almost surely, 2411431244 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 411431244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589344000).

411431244 is an abundant number, since it is smaller than the sum of its proper divisors (767256756).

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

411431244 is a wasteful number, since it uses less digits than its factorization.

411431244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5292 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 411431244 is about 20283.7679931516. The cubic root of 411431244 is about 743.7593235279.

Adding to 411431244 its reverse (442134114), we get a palindrome (853565358).

The spelling of 411431244 in words is "four hundred eleven million, four hundred thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 343 399 532 588 686 798 931 1029 1372 1596 1862 2058 2793 3724 4116 5261 5586 6517 10522 11172 13034 15783 19551 21044 26068 31566 36827 39102 63132 73654 78204 99959 110481 147308 199918 220962 257789 299877 399836 441924 515578 599754 699713 773367 1031156 1199508 1399426 1546734 1804523 2099139 2798852 3093468 3609046 4198278 4897991 5413569 7218092 8396556 9795982 10827138 14693973 19591964 21654276 29387946 34285937 58775892 68571874 102857811 137143748 205715622 411431244