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242683376 = 24133161617
BaseRepresentation
bin11100111011100…
…00110111110000
3121220122121000012
432131300313300
5444111332001
640025314052
76004526465
oct1635606760
9556577005
10242683376
11114a96681
1269335928
133b380340
142433366c
151648b2bb
hexe770df0

242683376 has 80 divisors (see below), whose sum is σ = 532132608. Its totient is φ = 106444800.

The previous prime is 242683369. The next prime is 242683393. The reversal of 242683376 is 673386242.

It is a congruent number.

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, 393020 + ... + 393636.

Almost surely, 2242683376 is an apocalyptic number.

242683376 is a gapful number since it is divisible by the number (26) 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 242683376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266066304).

242683376 is an abundant number, since it is smaller than the sum of its proper divisors (289449232).

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

242683376 is a wasteful number, since it uses less digits than its factorization.

242683376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its digits is 290304, while the sum is 41.

The square root of 242683376 is about 15578.2982382544. The cubic root of 242683376 is about 623.7539984724.

The spelling of 242683376 in words is "two hundred forty-two million, six hundred eighty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 31 52 61 62 104 122 124 208 244 248 403 488 496 617 793 806 976 1234 1586 1612 1891 2468 3172 3224 3782 4936 6344 6448 7564 8021 9872 12688 15128 16042 19127 24583 30256 32084 37637 38254 49166 64168 75274 76508 98332 128336 150548 153016 196664 248651 301096 306032 393328 489281 497302 602192 978562 994604 1166747 1957124 1989208 2333494 3914248 3978416 4666988 7828496 9333976 15167711 18667952 30335422 60670844 121341688 242683376