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412101324 = 223371223241
BaseRepresentation
bin11000100100000…
…010101011001100
31001201102220202000
4120210002223030
51320444220244
6104520432300
713132542405
oct3044025314
91051386660
10412101324
111a1690908
12b6018690
13674ba74b
143ca349ac
15262a4169
hex18902acc

412101324 has 96 divisors (see below), whose sum is σ = 1092833280. Its totient is φ = 134265600.

The previous prime is 412101257. The next prime is 412101329. The reversal of 412101324 is 423101214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 412101297 and 412101306.

It is not an unprimeable number, because it can be changed into a prime (412101329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1709844 + ... + 1710084.

It is an arithmetic number, because the mean of its divisors is an integer number (11383680).

Almost surely, 2412101324 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 412101324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546416640).

412101324 is an abundant number, since it is smaller than the sum of its proper divisors (680731956).

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

412101324 is a wasteful number, since it uses less digits than its factorization.

412101324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 412101324 is about 20300.2789143401. The cubic root of 412101324 is about 744.1628805718.

Adding to 412101324 its reverse (423101214), we get a palindrome (835202538).

The spelling of 412101324 in words is "four hundred twelve million, one hundred one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 223 241 284 426 446 482 639 669 723 852 892 964 1278 1338 1446 1917 2007 2169 2556 2676 2892 3834 4014 4338 6021 6507 7668 8028 8676 12042 13014 15833 17111 24084 26028 31666 34222 47499 51333 53743 63332 68444 94998 102666 107486 142497 153999 161229 189996 205332 214972 284994 307998 322458 427491 461997 483687 569988 615996 644916 854982 923994 967374 1451061 1709964 1847988 1934748 2902122 3815753 5804244 7631506 11447259 15263012 22894518 34341777 45789036 68683554 103025331 137367108 206050662 412101324