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248343144 = 23372364271
BaseRepresentation
bin11101100110101…
…10101001101000
3122022022010202020
432303112221220
51002033440034
640350504440
76103611330
oct1663265150
9568263666
10248343144
11118201975
126b205120
133c5b250a
1424da80c0
1516c08249
hexecd6a68

248343144 has 64 divisors (see below), whose sum is σ = 740413440. Its totient is φ = 67869120.

The previous prime is 248343133. The next prime is 248343169. The reversal of 248343144 is 441343842.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28272 + ... + 35999.

It is an arithmetic number, because the mean of its divisors is an integer number (11568960).

Almost surely, 2248343144 is an apocalyptic number.

248343144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248343144 is an abundant number, since it is smaller than the sum of its proper divisors (492070296).

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

248343144 is a wasteful number, since it uses less digits than its factorization.

248343144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64310 (or 64306 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 248343144 is about 15758.9068148777. The cubic root of 248343144 is about 628.5657673437.

Adding to 248343144 its reverse (441343842), we get a palindrome (689686986).

The spelling of 248343144 in words is "two hundred forty-eight million, three hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 64271 128542 192813 257084 385626 449897 514168 771252 899794 1349691 1478233 1542504 1799588 2699382 2956466 3599176 4434699 5398764 5912932 8869398 10347631 10797528 11825864 17738796 20695262 31042893 35477592 41390524 62085786 82781048 124171572 248343144