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242440296 = 23376312287
BaseRepresentation
bin11100111001101…
…01100001101000
3121220012020120020
432130311201220
5444031042141
640020200440
76002465010
oct1634654150
9556166506
10242440296
1111493aa8a
1269239120
133b2c67c7
14242acc40
151643e266
hexe735868

242440296 has 64 divisors (see below), whose sum is σ = 694087680. Its totient is φ = 69128640.

The previous prime is 242440273. The next prime is 242440301. The reversal of 242440296 is 692044242.

242440296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 104865 + ... + 107151.

It is an arithmetic number, because the mean of its divisors is an integer number (10845120).

Almost surely, 2242440296 is an apocalyptic number.

It is an amenable number.

242440296 is an abundant number, since it is smaller than the sum of its proper divisors (451647384).

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

242440296 is a wasteful number, since it uses less digits than its factorization.

242440296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 242440296 is about 15570.4944044818. The cubic root of 242440296 is about 623.5456710954.

The spelling of 242440296 in words is "two hundred forty-two million, four hundred forty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 631 1262 1893 2287 2524 3786 4417 4574 5048 6861 7572 8834 9148 13251 13722 15144 16009 17668 18296 26502 27444 32018 35336 48027 53004 54888 64036 96054 106008 128072 192108 384216 1443097 2886194 4329291 5772388 8658582 10101679 11544776 17317164 20203358 30305037 34634328 40406716 60610074 80813432 121220148 242440296