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242958336 = 21434943
BaseRepresentation
bin11100111101101…
…00000000000000
3121221011120011220
432132310000000
5444144131321
640035235040
76010053225
oct1636640000
9557146156
10242958336
11115164215
1269448a80
133b44853a
14243a594c
15164e29c6
hexe7b4000

242958336 has 60 divisors (see below), whose sum is σ = 648000192. Its totient is φ = 80969728.

The previous prime is 242958323. The next prime is 242958343. The reversal of 242958336 is 633859242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46681 + ... + 51623.

Almost surely, 2242958336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242958336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324000096).

242958336 is an abundant number, since it is smaller than the sum of its proper divisors (405041856).

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

242958336 is an frugal number, since it uses more digits than its factorization.

242958336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4948 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 242958336 is about 15587.1208374093. The cubic root of 242958336 is about 623.9894804275.

The spelling of 242958336 in words is "two hundred forty-two million, nine hundred fifty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 4943 6144 8192 9886 12288 14829 16384 19772 24576 29658 39544 49152 59316 79088 118632 158176 237264 316352 474528 632704 949056 1265408 1898112 2530816 3796224 5061632 7592448 10123264 15184896 20246528 30369792 40493056 60739584 80986112 121479168 242958336