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245071344 = 24372293593
BaseRepresentation
bin11101001101101…
…11110111110000
3122002010220200110
432212313313300
51000214240334
640152421320
76034033500
oct1646676760
9562126613
10245071344
11116377801
126a0a7840
133ba0823b
1424795a00
15167adae9
hexe9b7df0

245071344 has 120 divisors (see below), whose sum is σ = 762071760. Its totient is φ = 67587072.

The previous prime is 245071297. The next prime is 245071369. The reversal of 245071344 is 443170542.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66412 + ... + 70004.

It is an arithmetic number, because the mean of its divisors is an integer number (6350598).

Almost surely, 2245071344 is an apocalyptic number.

245071344 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 245071344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381035880).

245071344 is an abundant number, since it is smaller than the sum of its proper divisors (517000416).

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

245071344 is a wasteful number, since it uses less digits than its factorization.

245071344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 245071344 is about 15654.7546770941. The cubic root of 245071344 is about 625.7932064385.

The spelling of 245071344 in words is "two hundred forty-five million, seventy-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 84 87 98 112 116 147 168 174 196 203 232 294 336 348 392 406 464 588 609 696 784 812 1176 1218 1392 1421 1624 2352 2436 2842 3248 3593 4263 4872 5684 7186 8526 9744 10779 11368 14372 17052 21558 22736 25151 28744 34104 43116 50302 57488 68208 75453 86232 100604 104197 150906 172464 176057 201208 208394 301812 312591 352114 402416 416788 528171 603624 625182 704228 729379 833576 1056342 1207248 1250364 1408456 1458758 1667152 2112684 2188137 2500728 2816912 2917516 4225368 4376274 5001456 5105653 5835032 8450736 8752548 10211306 11670064 15316959 17505096 20422612 30633918 35010192 40845224 61267836 81690448 122535672 245071344