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411421332 = 223723613491
BaseRepresentation
bin11000100001011…
…100101010010100
31001200011100222010
4120201130222110
51320310440312
6104454104220
713124011050
oct3041345224
91050140863
10411421332
111a1266a33
12b594b070
136731009a
143c8d8c60
15261bc93c
hex1885ca94

411421332 has 96 divisors (see below), whose sum is σ = 1163925504. Its totient is φ = 110563200.

The previous prime is 411421331. The next prime is 411421349. The reversal of 411421332 is 233124114.

It is a super-3 number, since 3×4114213323 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 411421299 and 411421308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411421331) 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, 116107 + ... + 119597.

It is an arithmetic number, because the mean of its divisors is an integer number (12124224).

Almost surely, 2411421332 is an apocalyptic number.

411421332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411421332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581962752).

411421332 is an abundant number, since it is smaller than the sum of its proper divisors (752504172).

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

411421332 is a wasteful number, since it uses less digits than its factorization.

411421332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3587 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 411421332 is about 20283.5236583785. The cubic root of 411421332 is about 743.7533507181.

Adding to 411421332 its reverse (233124114), we get a palindrome (644545446).

The spelling of 411421332 in words is "four hundred eleven million, four hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 61 69 84 92 122 138 161 183 244 276 322 366 427 483 644 732 854 966 1281 1403 1708 1932 2562 2806 3491 4209 5124 5612 6982 8418 9821 10473 13964 16836 19642 20946 24437 29463 39284 41892 48874 58926 73311 80293 97748 117852 146622 160586 212951 240879 293244 321172 425902 481758 562051 638853 851804 963516 1124102 1277706 1490657 1686153 2248204 2555412 2981314 3372306 4471971 4897873 5962628 6744612 8943942 9795746 14693619 17887884 19591492 29387238 34285111 58774476 68570222 102855333 137140444 205710666 411421332