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1324242972 = 2233138111163
BaseRepresentation
bin100111011101110…
…0101100000011100
310102021210111212000
41032323211200130
510203001233342
6335223042300
744546610453
oct11673454034
93367714760
101324242972
1161a556388
1230b5a0390
13181475730
14c7c31b9a
157b3cd44c
hex4eee581c

1324242972 has 96 divisors (see below), whose sum is σ = 3705058560. Its totient is φ = 406607040.

The previous prime is 1324242949. The next prime is 1324242973. The reversal of 1324242972 is 2792424231.

It is a happy number.

1324242972 is a `hidden beast` number, since 1 + 324 + 242 + 97 + 2 = 666.

1324242972 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324242973) 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, 1138063 + ... + 1139225.

It is an arithmetic number, because the mean of its divisors is an integer number (38594360).

Almost surely, 21324242972 is an apocalyptic number.

1324242972 is a gapful number since it is divisible by the number (12) 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 1324242972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852529280).

1324242972 is an abundant number, since it is smaller than the sum of its proper divisors (2380815588).

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

1324242972 is a wasteful number, since it uses less digits than its factorization.

1324242972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1992 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 1324242972 is about 36390.1493813917. The cubic root of 1324242972 is about 1098.1354009020.

The spelling of 1324242972 in words is "one billion, three hundred twenty-four million, two hundred forty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 811 1163 1404 1622 2326 2433 3244 3489 4652 4866 6978 7299 9732 10467 10543 13956 14598 15119 20934 21086 21897 29196 30238 31401 31629 41868 42172 43794 45357 60476 62802 63258 87588 90714 94887 125604 126516 136071 181428 189774 272142 284661 379548 408213 544284 569322 816426 943193 1138644 1632852 1886386 2829579 3772772 5659158 8488737 11318316 12261509 16977474 24523018 25466211 33954948 36784527 49046036 50932422 73569054 101864844 110353581 147138108 220707162 331060743 441414324 662121486 1324242972