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248326344 = 23337179661
BaseRepresentation
bin11101100110100…
…10100011001000
3122022021021201000
432303102203020
51002032420334
640350255000
76103511340
oct1663224310
9568237630
10248326344
111181a0292
126b1b7460
133c5a7986
1424da1d20
1516c03299
hexecd28c8

248326344 has 128 divisors (see below), whose sum is σ = 834796800. Its totient is φ = 66769920.

The previous prime is 248326343. The next prime is 248326369. The reversal of 248326344 is 443623842.

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

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 = 248326299 and 248326308.

It is not an unprimeable number, because it can be changed into a prime (248326343) by changing a digit.

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, 20874 + ... + 30534.

It is an arithmetic number, because the mean of its divisors is an integer number (6521850).

Almost surely, 2248326344 is an apocalyptic number.

248326344 is a gapful number since it is divisible by the number (24) 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 248326344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417398400).

248326344 is an abundant number, since it is smaller than the sum of its proper divisors (586470456).

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

248326344 is a wasteful number, since it uses less digits than its factorization.

248326344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9700 (or 9690 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 248326344 is about 15758.3737739654. The cubic root of 248326344 is about 628.5515932151.

The spelling of 248326344 in words is "two hundred forty-eight million, three hundred twenty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 6426 8568 9661 12852 19322 25704 28983 38644 57966 67627 77288 86949 115932 135254 164237 173898 202881 231864 260847 270508 328474 347796 405762 492711 521694 541016 608643 656948 695592 811524 985422 1043388 1149659 1217286 1313896 1478133 1623048 1825929 1970844 2086776 2299318 2434572 2956266 3448977 3651858 3941688 4434399 4598636 4869144 5912532 6897954 7303716 8868798 9197272 10346931 11825064 13795908 14607432 17737596 20693862 27591816 31040793 35475192 41387724 62081586 82775448 124163172 248326344