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244379688 = 23371937537
BaseRepresentation
bin11101001000011…
…11000000101000
3122000211202220120
432210033000220
51000030122223
640125523240
76025123140
oct1644170050
9560752816
10244379688
11115a45093
1269a13520
133b825487
1424655920
15166c3be3
hexe90f028

244379688 has 64 divisors (see below), whose sum is σ = 701938560. Its totient is φ = 69451776.

The previous prime is 244379687. The next prime is 244379689. The reversal of 244379688 is 886973442.

It is an interprime number because it is at equal distance from previous prime (244379687) and next prime (244379689).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 244379688.

It is not an unprimeable number, because it can be changed into a prime (244379687) 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 15 ways as a sum of consecutive naturals, for example, 28656 + ... + 36192.

It is an arithmetic number, because the mean of its divisors is an integer number (10967790).

Almost surely, 2244379688 is an apocalyptic number.

244379688 is a gapful number since it is divisible by the number (28) 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 244379688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350969280).

244379688 is an abundant number, since it is smaller than the sum of its proper divisors (457558872).

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

244379688 is a wasteful number, since it uses less digits than its factorization.

244379688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7746 (or 7742 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 244379688 is about 15632.6481441885. The cubic root of 244379688 is about 625.2039338770.

The spelling of 244379688 in words is "two hundred forty-four million, three hundred seventy-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 193 386 579 772 1158 1351 1544 2316 2702 4053 4632 5404 7537 8106 10808 15074 16212 22611 30148 32424 45222 52759 60296 90444 105518 158277 180888 211036 316554 422072 633108 1266216 1454641 2909282 4363923 5818564 8727846 10182487 11637128 17455692 20364974 30547461 34911384 40729948 61094922 81459896 122189844 244379688