Search a number
-
+
242440704 = 2932114783
BaseRepresentation
bin11100111001101…
…01101000000000
3121220012021010100
432130311220000
5444031100304
640020202400
76002466132
oct1634655000
9556167110
10242440704
11114940320
1269239400
133b2c6a4c
14242ad052
151643e439
hexe735a00

242440704 has 120 divisors (see below), whose sum is σ = 763468992. Its totient is φ = 73451520.

The previous prime is 242440699. The next prime is 242440721. The reversal of 242440704 is 407044242.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48297 + ... + 53079.

Almost surely, 2242440704 is an apocalyptic number.

242440704 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 242440704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381734496).

242440704 is an abundant number, since it is smaller than the sum of its proper divisors (521028288).

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

242440704 is a wasteful number, since it uses less digits than its factorization.

242440704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 242440704 is about 15570.5075061798. The cubic root of 242440704 is about 623.5460208812.

Adding to 242440704 its reverse (407044242), we get a palindrome (649484946).

The spelling of 242440704 in words is "two hundred forty-two million, four hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 4783 5632 6336 8448 9566 12672 14349 16896 19132 25344 28698 38264 43047 50688 52613 57396 76528 86094 105226 114792 153056 157839 172188 210452 229584 306112 315678 344376 420904 459168 473517 612224 631356 688752 841808 918336 947034 1224448 1262712 1377504 1683616 1836672 1894068 2448896 2525424 2755008 3367232 3673344 3788136 5050848 5510016 6734464 7346688 7576272 10101696 11020032 13468928 15152544 20203392 22040064 26937856 30305088 40406784 60610176 80813568 121220352 242440704