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242666040 = 23352022217
BaseRepresentation
bin11100111011011…
…00101000111000
3121220121201020010
432131230220320
5444110303130
640025101520
76004425111
oct1635545070
9556551203
10242666040
11114a84651
12693278a0
133b375496
142432b208
15164860b0
hexe76ca38

242666040 has 32 divisors (see below), whose sum is σ = 727998480. Its totient is φ = 64710912.

The previous prime is 242666023. The next prime is 242666051. The reversal of 242666040 is 40666242.

242666040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242665989 and 242666007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1010989 + ... + 1011228.

Almost surely, 2242666040 is an apocalyptic number.

242666040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242666040 is an abundant number, since it is smaller than the sum of its proper divisors (485332440).

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

242666040 is a wasteful number, since it uses less digits than its factorization.

242666040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022231 (or 2022227 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 242666040 is about 15577.7418132411. The cubic root of 242666040 is about 623.7391455709.

The spelling of 242666040 in words is "two hundred forty-two million, six hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2022217 4044434 6066651 8088868 10111085 12133302 16177736 20222170 24266604 30333255 40444340 48533208 60666510 80888680 121333020 242666040