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242431392 = 2537367983
BaseRepresentation
bin11100111001100…
…11010110100000
3121220011210100110
432130303112200
5444030301032
640020051320
76002430030
oct1634632640
9556153313
10242431392
11114934325
1269233b40
133b2c2738
14242a98c0
151643b7cc
hexe7335a0

242431392 has 96 divisors (see below), whose sum is σ = 730017792. Its totient is φ = 69007104.

The previous prime is 242431391. The next prime is 242431433. The reversal of 242431392 is 293134242.

242431392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (242431391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246133 + ... + 247115.

It is an arithmetic number, because the mean of its divisors is an integer number (7604352).

Almost surely, 2242431392 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 242431392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365008896).

242431392 is an abundant number, since it is smaller than the sum of its proper divisors (487586400).

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

242431392 is a wasteful number, since it uses less digits than its factorization.

242431392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1362 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 242431392 is about 15570.2084764463. The cubic root of 242431392 is about 623.5380374378.

The spelling of 242431392 in words is "two hundred forty-two million, four hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 367 672 734 983 1101 1468 1966 2202 2569 2936 2949 3932 4404 5138 5872 5898 6881 7707 7864 8808 10276 11744 11796 13762 15414 15728 17616 20552 20643 23592 27524 30828 31456 35232 41104 41286 47184 55048 61656 82208 82572 94368 110096 123312 165144 220192 246624 330288 360761 660576 721522 1082283 1443044 2164566 2525327 2886088 4329132 5050654 5772176 7575981 8658264 10101308 11544352 15151962 17316528 20202616 30303924 34633056 40405232 60607848 80810464 121215696 242431392