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326440368 = 243719491
BaseRepresentation
bin10011011101010…
…001010110110000
3211202020220000000
4103131101112300
51132032042433
652220430000
711042461122
oct2335212660
9752226000
10326440368
111582a3531
12913a8300
13528277a7
14314d7212
151d9d3113
hex137515b0

326440368 has 160 divisors (see below), whose sum is σ = 1000531200. Its totient is φ = 102876480.

The previous prime is 326440363. The next prime is 326440369. The reversal of 326440368 is 863044623.

It is a happy number.

326440368 is a `hidden beast` number, since 3 + 2 + 644 + 0 + 3 + 6 + 8 = 666.

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 (326440363) 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, 664603 + ... + 665093.

It is an arithmetic number, because the mean of its divisors is an integer number (6253320).

Almost surely, 2326440368 is an apocalyptic number.

326440368 is a gapful number since it is divisible by the number (38) 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 326440368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500265600).

326440368 is an abundant number, since it is smaller than the sum of its proper divisors (674090832).

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

326440368 is an equidigital number, since it uses as much as digits as its factorization.

326440368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 326440368 is about 18067.6608336553. The cubic root of 326440368 is about 688.5486317052.

The spelling of 326440368 in words is "three hundred twenty-six million, four hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 491 513 648 684 729 912 972 982 1026 1296 1368 1458 1473 1539 1944 1964 2052 2187 2736 2916 2946 3078 3888 3928 4104 4374 4419 4617 5832 5892 6156 7856 8208 8748 8838 9234 9329 11664 11784 12312 13257 13851 17496 17676 18468 18658 23568 24624 26514 27702 27987 34992 35352 36936 37316 39771 41553 53028 55404 55974 70704 73872 74632 79542 83106 83961 106056 110808 111948 119313 149264 159084 166212 167922 212112 221616 223896 238626 251883 318168 332424 335844 357939 447792 477252 503766 636336 664848 671688 715878 755649 954504 1007532 1073817 1343376 1431756 1511298 1909008 2015064 2147634 2266947 2863512 3022596 4030128 4295268 4533894 5727024 6045192 6800841 8590536 9067788 12090384 13601682 17181072 18135576 20402523 27203364 36271152 40805046 54406728 81610092 108813456 163220184 326440368